✦ LIBER ✦

Linear codes and doubly transitive symmetric designs

✍ Scribed by Christopher Parker; Vladimir D. Tonchev

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 556 KB
Volume: 226-228
Category: Article
ISSN: 0024-3795
DOI: 10.1016/0024-3795(95)00104-y

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Extremal doubly-even codes of length 64

Extremal doubly-even codes of length 64 derived from symmetric designs

✍ S.N. Kapralov; V.D. Tonchev 📂 Article 📅 1990 🏛 Elsevier Science 🌐 English ⚖ 331 KB

Any symmetric 2-(31, 10,3) design gives rise to a binary self-dual doubly-even code of length 64, and the code is extremal if and only if the design does not possess any ovals [15]. Codes derived from the known symmetric 2-(31,10,3) designs without ovals and their automorphism groups are investigate

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 -

Alternating groups and flag-transitive 2

Alternating groups and flag-transitive 2-(v, k, 4) symmetric designs

✍ Huili Dong; Shenglin Zhou 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 129 KB

In this article, we study the classification of flag-transitive, point-primitive 2-(v, k, 4) symmetric designs. We prove that if the socle of the automorphism group G of a flag-transitive, point-primitive nontrivial 2-(v, k, 4) symmetric design D is an alternating group A n for n ≥ 5, then (v, k) =

Quasi-Symmetric Designs and Codes Meetin

Quasi-Symmetric Designs and Codes Meeting the Grey–Rankin Bound

✍ Gary McGuire 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 261 KB

We give a characterization of codes meeting the Grey Rankin bound. When the codes have even length, the existence of such codes is equivalent to the existence of certain quasi-symmetric designs. We also find the parameters of all linear codes meeting the Grey Rankin bound. ## 1997 Academic Press T

Exponential numbers of two-weight codes,

Exponential numbers of two-weight codes, difference sets and symmetric designs

✍ William M. Kantor 📂 Article 📅 1983 🏛 Elsevier Science 🌐 English ⚖ 175 KB

Design and Performance Analysis of Linea

Design and Performance Analysis of Linear Phase Para-UnitaryMBand Filter Banks for Image Coding

✍ Chang Woo Lee; Jong Won Kim; Sang Uk Lee 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 190 KB

This paper presents the optimal design and performance analysis of the linear phase paraunitary (LPPU) M band filter banks in the frame of vector quantized image coding. First, by maximizing the unified coding gain, which is a function of intra-band correlation, as well as inter-band energy compacti