Titlebook: Coding Theory and Design Theory; Part I Coding Theory Dijen Ray-Chaudhuri Conference proceedings 1990 Springer-Verlag New York, Inc. 1990 C

Schlemms-Canal

Self-Orthogonal Codes and the Topology of Spinor Groups,cribe the correspondence and discuss various techniques from the algebraic topology of Spin(n) which may be useful in studying self-orthogonal codes. In particular, Quillen’s results in equivariant cohomology theory coupled with some Morse theory may allow one to address certain questions on the minimum weight of doubly-even self-orthogonal codes.

llibretto

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讓步

Baer Subplanes, Ovals and Unitals,exploring further the notions that were introduced in [1]. There we defined the hull, ., of a design . over a finite field ., where . is a prime that divides the order . of the design: if . denotes the code of . over .., defined to be the space spanned by the characteristic functions of the blocks o

Boycott

On the Length of Codes with a Given Covering Radius,st a code of codimension 11 and covering radius 2 which has length 64. We conclude with a table which gives the best available information for the length of a code with codimension . and covering radius . for 2 ≤ . ≤ 24 and 2 ≤ . ≤ 24.

CBC471

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Intrepid

Perfect Multiple Coverings in Metric Schemes,essary and sufficient condition is found to determine when a metric scheme admits a nontrivial perfect multiple covering. Results specific to the classical Hamming and Johnson schemes are given which bear out the relationship between .-designs, orthogonal arrays, and perfect multiple coverings.

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