Information on Result #1556727
Linear OOA(8132, 4239, F8, 3, 37) (dual of [(4239, 3), 12585, 38]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(8132, 4239, F8, 37) (dual of [4239, 4107, 38]-code), using
- 131 step Varšamov–Edel lengthening with (ri) = (1, 23 times 0, 1, 106 times 0) [i] based on linear OA(8130, 4106, F8, 37) (dual of [4106, 3976, 38]-code), using
- construction X applied to C([0,18]) ⊂ C([0,17]) [i] based on
- linear OA(8129, 4097, F8, 37) (dual of [4097, 3968, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 88−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- linear OA(8121, 4097, F8, 35) (dual of [4097, 3976, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 88−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound) [i]
- linear OA(81, 9, F8, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,18]) ⊂ C([0,17]) [i] based on
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.