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COMBINATORICS
1998
63views more  COMBINATORICS 1998»
13 years 8 months ago
On Kissing Numbers in Dimensions 32 to 128
An elementary construction using binary codes gives new record kissing numbers in dimensions from 32 to 128.
Yves Edel, Eric M. Rains, Neil J. A. Sloane
STOC
1998
ACM
139views Algorithms» more  STOC 1998»
14 years 26 days ago
Analysis of Low Density Codes and Improved Designs Using Irregular Graphs
In [6], Gallager introduces a family of codes based on sparse bipartite graphs, which he calls low-density parity-check codes. He suggests a natural decoding algorithm for these c...
Michael Luby, Michael Mitzenmacher, Mohammad Amin ...
DCC
1998
IEEE
13 years 8 months ago
Quasideterminant Characterization of MDS Group Codes over Abelian Groups
A group code defined over a group G is a subset of Gn which forms a group under componentwise group operation. The well known matrix characterization of MDS (Maximum Distance Sepa...
A. A. Zain, B. Sundar Rajan
SAFECOMP
1998
Springer
14 years 7 days ago
Refinement of Safety-Related Hazards into Verifiable Code Assertions
: This paper presents a process for the stepwise refinement of safety code assertions from identified system hazards. The code assertions are intended for use in system safety veri...
Ken Wong, Jeff Joyce
TIT
1998
100views more  TIT 1998»
13 years 8 months ago
Block-Coded PSK Modulation Using Two-Level Group Codes Over Dihedral Groups
—A length n group code over a group G is a subgroup of Gn under component-wise group operation. Group codes over dihedral groups DM, with 2M elements, that are two-level construc...
Jyoti Bali, B. Sundar Rajan