Information on Result #2297739
Linear OA(4249, 266, F4, 158) (dual of [266, 17, 159]-code), using strength reduction based on linear OA(4249, 266, F4, 159) (dual of [266, 17, 160]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(4229, 245, F4, 159) (dual of [245, 16, 160]-code), using
- 12 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]
- 12 times truncation [i] based on linear OA(4241, 257, F4, 171) (dual of [257, 16, 172]-code), using
- linear OA(4229, 246, F4, 139) (dual of [246, 17, 140]-code), using Gilbert–Varšamov bound and bm = 4229 > Vbs−1(k−1) = 488415 271162 655543 936452 573923 507454 413994 879357 532124 119364 787141 416249 176718 512403 830766 292382 232094 983910 149887 986513 052392 821722 598172 [i]
- linear OA(419, 20, F4, 19) (dual of [20, 1, 20]-code or 20-arc in PG(18,4)), using
- dual of repetition code with length 20 [i]
- linear OA(4229, 245, F4, 159) (dual of [245, 16, 160]-code), using
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.
Other Results with Identical Parameters
None.
Depending Results
None.