Information on Result #1301625
Linear OA(5105, 135, F5, 59) (dual of [135, 30, 60]-code), using construction X with Varšamov bound based on
- linear OA(595, 122, F5, 59) (dual of [122, 27, 60]-code), using
- 4 times truncation [i] based on linear OA(599, 126, F5, 63) (dual of [126, 27, 64]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 126 | 56−1, defining interval I = [0,31], and minimum distance d ≥ |{−31,−30,…,31}|+1 = 64 (BCH-bound) [i]
- 4 times truncation [i] based on linear OA(599, 126, F5, 63) (dual of [126, 27, 64]-code), using
- linear OA(595, 125, F5, 52) (dual of [125, 30, 53]-code), using Gilbert–Varšamov bound and bm = 595 > Vbs−1(k−1) = 1 328879 257116 539742 420131 119683 765200 004299 804955 329964 253668 416657 [i]
- linear OA(57, 10, F5, 6) (dual of [10, 3, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(57, 11, F5, 6) (dual of [11, 4, 7]-code), using
- 1 times truncation [i] based on linear OA(58, 12, F5, 7) (dual of [12, 4, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(57, 11, F5, 6) (dual of [11, 4, 7]-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.