AbstractIn this paper, new binary extremal self-dual codes are presented. A number of new extremal singly-even self-dual codes of lengths 48,64 and 78, and extremal doubly-even self-dual codes of lengths 80 and 88, are constructed. We also relate an extremal doubly-even self-dual code of length divisible by 24 to an extremal singly-even self-dual code of that length. New singly-even self-dual codes of lengths 102 to 110 are also given
All 28-dimensional unimodular lattices with minimum norm 3 are known. Using this classification, we ...
Recently Bachoc and Gaborit introduced the notion of s-extremality for binary self-dual codes, gener...
For lengths $64$ and $66$, we construct six and seven extremal singly even self-dual codes with weig...
AbstractIn this paper, new binary extremal self-dual codes are presented. A number of new extremal s...
AbstractIn this paper we prove that there are exactly 7 inequivalent [20,10,6] even extremal formall...
We find new extremal [76, 38, 14] and [78, 39, 14] binary self-dual codes. The code of length 76 is ...
In this correspondence, we consider quadratic double and bordered double circulant construction meth...
AbstractThe known structure of the automorphism group of the extended binary quadratic-residue code ...
A paper of Conway and Sloane (J. H. Conway and N. J. A. Sloane. A new upper bound on the minimal dis...
Abstract. The existences of an extremal doubly even self-dual [96, 48, 20] code and a self-dual [94,...
AbstractA classification of all extremal double circulant self-dual codes of lengths up to 72 is kno...
A method is given for constructing extremal binary self-dual [42, 21, 8]-codes from certain symmetri...
AbstractWe give a new proof for the theorem of Conway and Pless that there are exactly five binary l...
AbstractIn this paper, it is shown that there are 11 extremal doubly-even self-dual [80,40,16] codes...
All 28-dimensional unimodular lattices with minimum norm 3 are known. Using this classification, we ...
All 28-dimensional unimodular lattices with minimum norm 3 are known. Using this classification, we ...
Recently Bachoc and Gaborit introduced the notion of s-extremality for binary self-dual codes, gener...
For lengths $64$ and $66$, we construct six and seven extremal singly even self-dual codes with weig...
AbstractIn this paper, new binary extremal self-dual codes are presented. A number of new extremal s...
AbstractIn this paper we prove that there are exactly 7 inequivalent [20,10,6] even extremal formall...
We find new extremal [76, 38, 14] and [78, 39, 14] binary self-dual codes. The code of length 76 is ...
In this correspondence, we consider quadratic double and bordered double circulant construction meth...
AbstractThe known structure of the automorphism group of the extended binary quadratic-residue code ...
A paper of Conway and Sloane (J. H. Conway and N. J. A. Sloane. A new upper bound on the minimal dis...
Abstract. The existences of an extremal doubly even self-dual [96, 48, 20] code and a self-dual [94,...
AbstractA classification of all extremal double circulant self-dual codes of lengths up to 72 is kno...
A method is given for constructing extremal binary self-dual [42, 21, 8]-codes from certain symmetri...
AbstractWe give a new proof for the theorem of Conway and Pless that there are exactly five binary l...
AbstractIn this paper, it is shown that there are 11 extremal doubly-even self-dual [80,40,16] codes...
All 28-dimensional unimodular lattices with minimum norm 3 are known. Using this classification, we ...
All 28-dimensional unimodular lattices with minimum norm 3 are known. Using this classification, we ...
Recently Bachoc and Gaborit introduced the notion of s-extremality for binary self-dual codes, gener...
For lengths $64$ and $66$, we construct six and seven extremal singly even self-dual codes with weig...
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