Information on Result #1489658
Linear OOA(882, 1880, F8, 3, 23) (dual of [(1880, 3), 5558, 24]-NRT-code), using OOA 2-folding based on linear OOA(882, 3760, F8, 2, 23) (dual of [(3760, 2), 7438, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(882, 3761, F8, 2, 23) (dual of [(3761, 2), 7440, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(882, 3761, F8, 23) (dual of [3761, 3679, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(882, 4106, F8, 23) (dual of [4106, 4024, 24]-code), using
- construction X applied to C([0,11]) ⊂ C([0,10]) [i] based on
- linear OA(881, 4097, F8, 23) (dual of [4097, 4016, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 88−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(873, 4097, F8, 21) (dual of [4097, 4024, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 88−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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([0,11]) ⊂ C([0,10]) [i] based on
- discarding factors / shortening the dual code based on linear OA(882, 4106, F8, 23) (dual of [4106, 4024, 24]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(882, 3761, F8, 23) (dual of [3761, 3679, 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.