Information on Result #1300861
Linear OA(4230, 247, F4, 145) (dual of [247, 17, 146]-code), using construction X with Varšamov bound based on
- linear OA(4215, 231, F4, 145) (dual of [231, 16, 146]-code), using
- 26 times truncation [i] based on linear OA(4241, 257, F4, 171) (dual of [257, 16, 172]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 257 | 48−1, defining interval I = [0,85], and minimum distance d ≥ |{−85,−84,…,85}|+1 = 172 (BCH-bound) [i]
- 26 times truncation [i] based on linear OA(4241, 257, F4, 171) (dual of [257, 16, 172]-code), using
- linear OA(4215, 232, F4, 130) (dual of [232, 17, 131]-code), using Gilbert–Varšamov bound and bm = 4215 > Vbs−1(k−1) = 2256 320424 871693 737704 579303 254069 536079 954411 334144 198679 773873 195346 884824 862778 371035 453429 073792 636790 794147 069177 085622 492978 [i]
- linear OA(414, 15, F4, 14) (dual of [15, 1, 15]-code or 15-arc in PG(13,4)), using
- dual of repetition code with length 15 [i]
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.