Add to ORKGThe hyperplanes intersecting a 2-weight code in the same number of points obviously form the point set of a projective code. On the other hand, if we have a projective code C, then we can make a 2-weight code by taking the multiset of points <c >E PC with multiplicity "Y(w), where W is the weight of c E C and "Y( w) = aw + f3 for some rational a and f3 depending on the weight enumerator of C. In this way we find a 1-1 correspondence between projective codes and 2-weight codes. The second construction can be generalized by taking for "Y{ w) a polynomial of higher degree. In that case more information about the cosets of the dual of C is needed. Several new ternary codes will be constructed in this way
AbstractThe notion of a projective system, defined as a set X of n-points in a projective space over...
We survey the relationships between two-weight linear [n, k] codes over GF(q), projective (n, k, h1,...
AbstractAfter several remarks on two-weight irreducible cyclic codes, we introduce a family of proje...
The hyperplanes intersecting a 2-weight code in the same number of points obviously form the point s...
The paper gives a matrix-free presentation of the correspondence between full-length linear codes an...
A projective multiset is a collection of projective points, which are not necessarily distinct. A li...
We determine the weight enumerator of the code of the projective plane of order 5 by hand. The main ...
We study the higher weights of codes formed from planes and biplanes. We relate the higher weights o...
We discuss the class of projective systems whose supports are the complement of the union of two lin...
We construct two-weight sets in PG$(3n-1,q)$, $n\geq2$ with the same weights as those that would ari...
It is well-known that few-weight linear codes have better applications in secret sharing schemes \ci...
AbstractUsing certain sets of points of a finite projective geometry some results are obtained from ...
By a classical result of Bonisoli, the equidistant linear codes over GF(q) are, up to monomial equiv...
We use projective multisets (projective systems) to find upper bounds on the weight hierarchies for ...
AbstractWe construct new linear two-weight codes over the finite field with q elements. To do so we ...
AbstractThe notion of a projective system, defined as a set X of n-points in a projective space over...
We survey the relationships between two-weight linear [n, k] codes over GF(q), projective (n, k, h1,...
AbstractAfter several remarks on two-weight irreducible cyclic codes, we introduce a family of proje...
The hyperplanes intersecting a 2-weight code in the same number of points obviously form the point s...
The paper gives a matrix-free presentation of the correspondence between full-length linear codes an...
A projective multiset is a collection of projective points, which are not necessarily distinct. A li...
We determine the weight enumerator of the code of the projective plane of order 5 by hand. The main ...
We study the higher weights of codes formed from planes and biplanes. We relate the higher weights o...
We discuss the class of projective systems whose supports are the complement of the union of two lin...
We construct two-weight sets in PG$(3n-1,q)$, $n\geq2$ with the same weights as those that would ari...
It is well-known that few-weight linear codes have better applications in secret sharing schemes \ci...
AbstractUsing certain sets of points of a finite projective geometry some results are obtained from ...
By a classical result of Bonisoli, the equidistant linear codes over GF(q) are, up to monomial equiv...
We use projective multisets (projective systems) to find upper bounds on the weight hierarchies for ...
AbstractWe construct new linear two-weight codes over the finite field with q elements. To do so we ...
AbstractThe notion of a projective system, defined as a set X of n-points in a projective space over...
We survey the relationships between two-weight linear [n, k] codes over GF(q), projective (n, k, h1,...
AbstractAfter several remarks on two-weight irreducible cyclic codes, we introduce a family of proje...