Kirkman-Steiner Triple Systems and Sets of Mutually Orthogonal Latin Squares

Sets of Three Pairwise Orthogonal Steiner Triple Systems

J. H. Dinitz
P. Dukes
Alan C. H. Ling

January 2010

Two Steiner triple systems (STS) are orthogonal if their sets of triples are disjoint, and two disjo...

Orthogonal-Cyclic Latin Squares of Orders 9, 15, 21, and 25

Federer, Walter T.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

September 1984

14 pages, 1 article*Orthogonal-Cyclic Latin Squares of Orders 9, 15, 21, and 25* (Federer, Walter T....

Sets of three pairwise orthogonal Steiner triple systems

Dinitz, J.H.
Dukes, P.
Ling, Alan C.H.

January 2003

AbstractTwo Steiner triple systems (STS) are orthogonal if their sets of triples are disjoint, and t...

On the Equivalence of Kirkman-Steiner Triple Systems and Sets of Mutually Orthogonal Latin Squares

Hedayat, A.
Raktoe, B. L.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

January 1970

5 pages, 1 article*On the Equivalence of Kirkman-Steiner Triple Systems and Sets of Mutually Orthogo...

On the Equivalence of a Set of Mutually Orthogonal Latin Squares with Other Combinatorial Systems

Hedayat, A.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

October 1969

11 pages, 1 article*On the Equivalence of a Set of Mutually Orthogonal Latin Squares with Other Comb...

ON THE EQUIVALENCE OF KIRKMAN-STEINER TRIPLE SYSTEMS AND SETS OF MUTUALLY ORTHOGONAL LATIN SQUARES*

A. Hedayat
B. L. Raktoe

September 2016

It is shown that for every Kirkman-Steiner triple system of order n = 3 (mod. 6) 1 there exists at l...

Experimental Designs and Combinatorial Systems Associated with Latin Squares and Sets of Mutually Orthogonal Latin Squares

Hedayat, A.
Shrikhande, S. S.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

January 1970

14 pages, 1 article*Experimental Designs and Combinatorial Systems Associated with Latin Squares and...

A Particular Set of Orthogonal Cyclic Latin Squares of Orders 21, 27, 33, 35, 39, 45, 51, 55, 57, 63, and 65

Federer, Walter T.
Berkowitz, Melissa S.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

February 1987

20 pages, 1 article*A Particular Set of Orthogonal Cyclic Latin Squares of Orders 21, 27, 33, 35, 39...

Complete Sets of Pairwise Mutually Orthogonal Latin Rectangles

Federer, Walter T.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

February 1982

9 pages, 1 article*Complete Sets of Pairwise Mutually Orthogonal Latin Rectangles* (Federer, Walter ...

On the Theory and Application of Sum Composition of Latin Squares and Orthogonal Latin Squares

Hedayat, A.
Seiden, E.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

August 1972

35 pages, 1 article*On the Theory and Application of Sum Composition of Latin Squares and Orthogonal...

[ARTICLE] Pythagoras Triples Explained via Central Square (Australian Senior Mathematics Journal / 2015)

Luis Teia (10811244)

November 2022

The triangles formed by the triples in Pythagoras’ or Plato’s families can be geometrically intercon...

On the Nonexistence of Orthogonal Latin Squares of Order Six

Federer, W. T.
Hedayat, A.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

September 1975

8 pages, 1 article*On the Nonexistence of Orthogonal Latin Squares of Order Six* (Federer, W. T.; He...

An Algebraic Property of the Totally Symmetric Loops Associated with Kirkman-Steiner Triple Systems

Hedayat, A.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

January 1970

7 pages, 1 article*An Algebraic Property of the Totally Symmetric Loops Associated with Kirkman-Stei...

A New Set of Three Mutually Orthogonal Latin Squares of Order 15

Hedayat, A.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

January 1970

This issue was undated. The date given is an estimate.8 pages, 1 article*A New Set of Three Mutually...

Embedding Cyclic Latin Squares of Order 2 (n) in a Complete Set of Orthogonal F-Squares

Schwager, S. J.
Federer, W. T.
Mandeli, J. P.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

January 1982

This issue was undated. The date given is an estimate.18 pages, 1 article*Embedding Cyclic Latin Squ...

Sets of Three Pairwise Orthogonal Steiner Triple Systems

J. H. Dinitz
P. Dukes
Alan C. H. Ling

January 2010

Two Steiner triple systems (STS) are orthogonal if their sets of triples are disjoint, and two disjo...

Orthogonal-Cyclic Latin Squares of Orders 9, 15, 21, and 25

Federer, Walter T.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

September 1984

14 pages, 1 article*Orthogonal-Cyclic Latin Squares of Orders 9, 15, 21, and 25* (Federer, Walter T....

Sets of three pairwise orthogonal Steiner triple systems

Dinitz, J.H.
Dukes, P.
Ling, Alan C.H.

January 2003

AbstractTwo Steiner triple systems (STS) are orthogonal if their sets of triples are disjoint, and t...

On the Equivalence of Kirkman-Steiner Triple Systems and Sets of Mutually Orthogonal Latin Squares

Hedayat, A.
Raktoe, B. L.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

January 1970

5 pages, 1 article*On the Equivalence of Kirkman-Steiner Triple Systems and Sets of Mutually Orthogo...

On the Equivalence of a Set of Mutually Orthogonal Latin Squares with Other Combinatorial Systems

Hedayat, A.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

October 1969

11 pages, 1 article*On the Equivalence of a Set of Mutually Orthogonal Latin Squares with Other Comb...

ON THE EQUIVALENCE OF KIRKMAN-STEINER TRIPLE SYSTEMS AND SETS OF MUTUALLY ORTHOGONAL LATIN SQUARES*

A. Hedayat
B. L. Raktoe

September 2016

It is shown that for every Kirkman-Steiner triple system of order n = 3 (mod. 6) 1 there exists at l...

Experimental Designs and Combinatorial Systems Associated with Latin Squares and Sets of Mutually Orthogonal Latin Squares

Hedayat, A.
Shrikhande, S. S.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

January 1970

14 pages, 1 article*Experimental Designs and Combinatorial Systems Associated with Latin Squares and...

A Particular Set of Orthogonal Cyclic Latin Squares of Orders 21, 27, 33, 35, 39, 45, 51, 55, 57, 63, and 65

Federer, Walter T.
Berkowitz, Melissa S.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

February 1987

20 pages, 1 article*A Particular Set of Orthogonal Cyclic Latin Squares of Orders 21, 27, 33, 35, 39...

Complete Sets of Pairwise Mutually Orthogonal Latin Rectangles

Federer, Walter T.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

February 1982

9 pages, 1 article*Complete Sets of Pairwise Mutually Orthogonal Latin Rectangles* (Federer, Walter ...

On the Theory and Application of Sum Composition of Latin Squares and Orthogonal Latin Squares

Hedayat, A.
Seiden, E.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

August 1972

35 pages, 1 article*On the Theory and Application of Sum Composition of Latin Squares and Orthogonal...

[ARTICLE] Pythagoras Triples Explained via Central Square (Australian Senior Mathematics Journal / 2015)

Luis Teia (10811244)

November 2022

The triangles formed by the triples in Pythagoras’ or Plato’s families can be geometrically intercon...

On the Nonexistence of Orthogonal Latin Squares of Order Six

Federer, W. T.
Hedayat, A.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

September 1975

8 pages, 1 article*On the Nonexistence of Orthogonal Latin Squares of Order Six* (Federer, W. T.; He...

An Algebraic Property of the Totally Symmetric Loops Associated with Kirkman-Steiner Triple Systems

Hedayat, A.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

January 1970

7 pages, 1 article*An Algebraic Property of the Totally Symmetric Loops Associated with Kirkman-Stei...

A New Set of Three Mutually Orthogonal Latin Squares of Order 15

Hedayat, A.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

January 1970

This issue was undated. The date given is an estimate.8 pages, 1 article*A New Set of Three Mutually...

Embedding Cyclic Latin Squares of Order 2 (n) in a Complete Set of Orthogonal F-Squares

Schwager, S. J.
Federer, W. T.
Mandeli, J. P.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

January 1982

This issue was undated. The date given is an estimate.18 pages, 1 article*Embedding Cyclic Latin Squ...

Sets of Three Pairwise Orthogonal Steiner Triple Systems

J. H. Dinitz
P. Dukes
Alan C. H. Ling

January 2010

Two Steiner triple systems (STS) are orthogonal if their sets of triples are disjoint, and two disjo...

Orthogonal-Cyclic Latin Squares of Orders 9, 15, 21, and 25

Federer, Walter T.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

September 1984

14 pages, 1 article*Orthogonal-Cyclic Latin Squares of Orders 9, 15, 21, and 25* (Federer, Walter T....

Sets of three pairwise orthogonal Steiner triple systems

Dinitz, J.H.
Dukes, P.
Ling, Alan C.H.

January 2003

AbstractTwo Steiner triple systems (STS) are orthogonal if their sets of triples are disjoint, and t...

Kirkman-Steiner Triple Systems and Sets of Mutually Orthogonal Latin Squares

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Kirkman-Steiner Triple Systems and Sets of Mutually Orthogonal Latin Squares

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