AbstractRecently, there has been tremendous interest in self-dual codes over finite rings, specifically the rings Z2k. In this note, the first examples of extremal Type II codes over Z6 of length 32 are constructed. These give examples of extremal even unimodular lattices in dimension 32 by Construction A. A relationship between extremal Type II codes over Z6 and binary extremal Type II codes is also investigated
AbstractWe complete the classification the Lee-extremal self-dual codes over the ring F2+uF2 of leng...
All 28-dimensional unimodular lattices with minimum norm 3 are known. Using this classification, we ...
In this thesis we give new constructions of a number of extremal type II codes. Algebraic proofs are...
AbstractRecently, there has been tremendous interest in self-dual codes over finite rings, specifica...
AbstractType II Z4-codes are a remarkable class of self-dual Z4-codes. A Type II Z4-code of length n...
AbstractIn this paper, we give a new upper bound on the minimum Euclidean weight of Type II Z2k-code...
We give methods for constructing many self-dual $\mathbb{Z}_m$-codes and Type II $\mathbb{Z}_{2k}$-c...
AbstractIn this paper, we construct many new extremal Type II Z6-codes of length 24, and consequentl...
To my family and Stephanie. Self-dual doubly even linear binary error-correcting codes, often referr...
In this correspondence, we consider quadratic double and bordered double circulant construction meth...
AbstractIn this paper, we provide a classification of extremal double circulant Type II codes of len...
AbstractIn this paper, binary extremal self-dual codes of length 48 and extremal unimodular lattices...
Abstract In this paper, we give a new upper bound on the minimum Euclidean weight of Type II Z 2k -c...
AbstractIn this paper, we provide a classification of extremal double circulant Type II codes of len...
AbstractA special class of self dual codes over an alphabet of size 16 which contains bothF4andF2+uF...
AbstractWe complete the classification the Lee-extremal self-dual codes over the ring F2+uF2 of leng...
All 28-dimensional unimodular lattices with minimum norm 3 are known. Using this classification, we ...
In this thesis we give new constructions of a number of extremal type II codes. Algebraic proofs are...
AbstractRecently, there has been tremendous interest in self-dual codes over finite rings, specifica...
AbstractType II Z4-codes are a remarkable class of self-dual Z4-codes. A Type II Z4-code of length n...
AbstractIn this paper, we give a new upper bound on the minimum Euclidean weight of Type II Z2k-code...
We give methods for constructing many self-dual $\mathbb{Z}_m$-codes and Type II $\mathbb{Z}_{2k}$-c...
AbstractIn this paper, we construct many new extremal Type II Z6-codes of length 24, and consequentl...
To my family and Stephanie. Self-dual doubly even linear binary error-correcting codes, often referr...
In this correspondence, we consider quadratic double and bordered double circulant construction meth...
AbstractIn this paper, we provide a classification of extremal double circulant Type II codes of len...
AbstractIn this paper, binary extremal self-dual codes of length 48 and extremal unimodular lattices...
Abstract In this paper, we give a new upper bound on the minimum Euclidean weight of Type II Z 2k -c...
AbstractIn this paper, we provide a classification of extremal double circulant Type II codes of len...
AbstractA special class of self dual codes over an alphabet of size 16 which contains bothF4andF2+uF...
AbstractWe complete the classification the Lee-extremal self-dual codes over the ring F2+uF2 of leng...
All 28-dimensional unimodular lattices with minimum norm 3 are known. Using this classification, we ...
In this thesis we give new constructions of a number of extremal type II codes. Algebraic proofs are...