Quadratic spaces over finite fields and codes |
| |
Authors: | Ernst Snapper |
| |
Institution: | Dartmouth College, Hanover, New Hampshire 03755 USA |
| |
Abstract: | Let V be a finite-dimensional quadratic space over a finite field GF(?) of characteristic different from 2. It is shown that, even if V is singular, the geometry of V is completely determined by the number of points on the unit sphere, the “sphere of the nonsquares,” and the “0-sphere.” For ? = 3, this implies that two codes over GF(3) with the same weight enumerator are isometric. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|