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On completely regular binary codes and t-designs∗

✍ Scribed by J. Borges; J. Rifá; V.A. Zinoviev


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
283 KB
Volume
10
Category
Article
ISSN
1571-0653

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📜 SIMILAR VOLUMES


Completely regular codes and completely
✍ Patrick Solé 📂 Article 📅 1990 🏛 Elsevier Science 🌐 English ⚖ 511 KB

A binary code C is said to be completely regular if the weight distribution of any translate x + C depends only on the distance of x to C. Such codes are related to designs and distance regular graphs. Their covering radius is equal to their external distance. All perfect and uniformly packed codes

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A note on completely regular codes
✍ A.E. Brouwer 📂 Article 📅 1990 🏛 Elsevier Science 🌐 English ⚖ 169 KB

We show that puncturing a completely regular even binary code produces a completely regular code again, thus answering a question posed in Brouwer et al. [3], p. 357.

Binary codes and quasi-symmetric designs
✍ A.R. Calderbank; P. Frankl 📂 Article 📅 1990 🏛 Elsevier Science 🌐 English ⚖ 263 KB

obtain a new for the of a -(u, A) design the block intersection st, sZ, . . , s, satisfy sr -sZ-. . . = s, = s(mod 2). This condition eliminates quasi-symmetric 2 -(20,10,18) and 2 -(60,30,58) designs. Quasi-symmetric 2 -(20,8,14) designs are eliminated by an ad hoc coding theoretic argument. A 2 -