Name
Abstract | ||
|---|---|---|
Let A be a nonsingular n by n matrix over the finite field GFq, k = bn 2c, q = pa,a 1, where p is prime. Let P(A,q) denote the number of vectors x in (GFq)n such that both x and Ax have no zero component. We prove that for n 2, and q > 2 2n 3 ,P(A,q) ((q 1)(q 3)) k(q 2)n 2k and describe all matrices A for which the equality holds. We also prove that the result conjectured in (1), |
Year | DOI | Venue |
|---|---|---|
1994 | 10.1007/BF01215347 | Combinatorica |
Keywords | Field | DocType |
finite field | Prime (order theory),Discrete mathematics,Combinatorics,Matrix (mathematics),Mathematics | Journal |
Volume | Issue | ISSN |
14 | 2 | 1439-6912 |
Citations | PageRank | References |
1 | 0.51 | 1 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Ronald D. Baker | 1 | 59 | 12.77 |
| Joseph E. Bonin | 2 | 53 | 16.74 |
| Felix Lazebnik | 3 | 353 | 49.26 |
| Eugenii Shustin | 4 | 32 | 3.60 |