Information on Result #1324250
Linear OA(4253, 65589, F4, 40) (dual of [65589, 65336, 41]-code), using construction X with Varšamov bound based on
- linear OA(4250, 65585, F4, 40) (dual of [65585, 65335, 41]-code), using
- construction X applied to Ce(40) ⊂ Ce(33) [i] based on
- linear OA(4241, 65536, F4, 41) (dual of [65536, 65295, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(4201, 65536, F4, 34) (dual of [65536, 65335, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(49, 49, F4, 5) (dual of [49, 40, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(49, 51, F4, 5) (dual of [51, 42, 6]-code), using
- a “DaH†code from Brouwer’s database [i]
- discarding factors / shortening the dual code based on linear OA(49, 51, F4, 5) (dual of [51, 42, 6]-code), using
- construction X applied to Ce(40) ⊂ Ce(33) [i] based on
- linear OA(4250, 65586, F4, 37) (dual of [65586, 65336, 38]-code), using Gilbert–Varšamov bound and bm = 4250 > Vbs−1(k−1) = 101554 654579 098133 796437 570099 908208 167536 006319 969320 350626 360986 422416 258703 154786 455187 237287 359636 230575 852499 090068 094687 638958 066849 841242 259640 [i]
- linear OA(42, 3, F4, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,4)), using
- dual of repetition code with length 3 [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.
Other Results with Identical Parameters
None.
Depending Results
None.