Electronic Resource
Springer
Designs, codes and cryptography
16 (1999), S. 5-9
ISSN:
1573-7586
Keywords:
binary linear codes
;
quadratic residues
;
norm quadratic residue codes
;
covering radius
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
,
Mathematics
Notes:
Abstract In [5] Tiu and Wallace have constructed a new class of linear codes called Norm Quadratic Residue code C p for p〉 a prime of the form 4n+1 and determined some of its properties. It was shown that C p≤ p. He further conjectured that C p = p. In the present correspondence we show that similar construction works for primes of the form 4n-1. We further show that dim C p = p for any odd prime p and determine few elementary properties of these codes.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1008387423552
Permalink
| Library |
Location |
Call Number |
Volume/Issue/Year |
Availability |
