Information on Result #1495678
Linear OOA(8152, 2335, F81, 3, 23) (dual of [(2335, 3), 6953, 24]-NRT-code), using OOA 2-folding based on linear OOA(8152, 4670, F81, 2, 23) (dual of [(4670, 2), 9288, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8152, 4671, F81, 2, 23) (dual of [(4671, 2), 9290, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8152, 4671, F81, 23) (dual of [4671, 4619, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(8152, 6585, F81, 23) (dual of [6585, 6533, 24]-code), using
- construction X applied to C([0,11]) ⊂ C([0,7]) [i] based on
- linear OA(8145, 6562, F81, 23) (dual of [6562, 6517, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(8129, 6562, F81, 15) (dual of [6562, 6533, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(817, 23, F81, 7) (dual of [23, 16, 8]-code or 23-arc in PG(6,81)), using
- discarding factors / shortening the dual code based on linear OA(817, 81, F81, 7) (dual of [81, 74, 8]-code or 81-arc in PG(6,81)), using
- Reed–Solomon code RS(74,81) [i]
- discarding factors / shortening the dual code based on linear OA(817, 81, F81, 7) (dual of [81, 74, 8]-code or 81-arc in PG(6,81)), using
- construction X applied to C([0,11]) ⊂ C([0,7]) [i] based on
- discarding factors / shortening the dual code based on linear OA(8152, 6585, F81, 23) (dual of [6585, 6533, 24]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8152, 4671, F81, 23) (dual of [4671, 4619, 24]-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.