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94
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TIT
2008
75views more  TIT 2008»
15 years 15 days ago
Linear Network Codes and Systems of Polynomial Equations
If and are nonnegative integers and F is a field, then a polynomial collection {p1, . . . , p} Z[1, . . . , ] is said to be solvable over F if there exist 1, . . . , F such t...
Randall Dougherty, Christopher F. Freiling, Kennet...
69
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COMBINATORICS
2000
76views more  COMBINATORICS 2000»
15 years 13 days ago
Linear Codes over Finite Chain Rings
Thomas Honold, Ivan N. Landjev
102
Voted
DCC
2008
IEEE
16 years 5 days ago
Coprimitive sets and inextendable codes
Complete (n, r)-arcs in PG(k - 1, q) and projective (n, k, n - r)q-codes that admit no projective extensions are equivalent objects. We show that projective codes of reasonable le...
T. L. Alderson, Aiden A. Bruen
82
Voted
GLOBECOM
2006
IEEE
15 years 6 months ago
Properties of Codes with the Rank Metric
In this paper, we study the rank distributions of linear codes. We give the analogous to the MacWilliams identity for the rank distributions of codes. The considerations of our pr...
Maximilien Gadouleau, Zhiyuan Yan
AAECC
2007
Springer
127views Algorithms» more  AAECC 2007»
15 years 22 days ago
Skew-cyclic codes
We generalize the notion of cyclic codes by using generator polynomials in (non commutative) skew polynomial rings. Since skew polynomial rings are left and right euclidean, the o...
Delphine Boucher, Willi Geiselmann, Felix Ulmer