Name
Title | ||
|---|---|---|
Hyperplane Sections of Fermat Varieties in P3 in Char.2 and Some Applications to Cyclic Codes |
Abstract | ||
|---|---|---|
We consider the cyclic codes C
3
(t)
of length 23–1 generated by m
1(X)mnt(X) where m
i(X) is the minimal polynomial of a primitive element of GF(23), and ask when these codes have minimum distance 5. Words of weight 4 in these codes are directly related to rational points in GF(23) on the curves corresponding to the polynomials Xt+Yt+Zt+(X+Y+Z)t over the algebraic closure of GF(2). Study of the singularities and absolutely irreducible components of these polynomials leads to results on the minimum distance of the codes. |
Year | DOI | Venue |
|---|---|---|
1993 | 10.1007/3-540-56686-4_43 | AAECC |
Keywords | Field | DocType |
cyclic codes,fermat varieties,hyperplane sections,rational point,irreducible component,cyclic code,minimal polynomial | Discrete mathematics,Absolutely irreducible,Irreducible component,Combinatorics,Algebraic closure,Polynomial,Cyclic code,Minimal polynomial (linear algebra),Hyperplane,Primitive element,Mathematics | Conference |
ISBN | Citations | PageRank |
3-540-56686-4 | 37 | 4.92 |
References | Authors | |
5 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Heeralal Janwa | 1 | 76 | 10.66 |
| Richard M. Wilson | 2 | 697 | 340.86 |