Information on Result #1301615
Linear OA(5102, 131, F5, 58) (dual of [131, 29, 59]-code), using construction X with Varšamov bound based on
- linear OA(594, 121, F5, 58) (dual of [121, 27, 59]-code), using
- 5 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]
- 5 times truncation [i] based on linear OA(599, 126, F5, 63) (dual of [126, 27, 64]-code), using
- linear OA(594, 123, F5, 52) (dual of [123, 29, 53]-code), using Gilbert–Varšamov bound and bm = 594 > Vbs−1(k−1) = 460558 702408 106707 769066 929927 933886 277670 170470 712586 512052 727609 [i]
- linear OA(56, 8, F5, 5) (dual of [8, 2, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(56, 12, F5, 5) (dual of [12, 6, 6]-code), using
- extended quadratic residue code Qe(12,5) [i]
- discarding factors / shortening the dual code based on linear OA(56, 12, F5, 5) (dual of [12, 6, 6]-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.