Information on Result #1728220
Digital (53, 74, 832)-net over F8, using net defined by OOA based on linear OOA(874, 832, F8, 27, 21) (dual of [(832, 27), 22390, 22]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(874, 3329, F8, 3, 21) (dual of [(3329, 3), 9913, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(874, 3330, F8, 3, 21) (dual of [(3330, 3), 9916, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(874, 3330, F8, 21) (dual of [3330, 3256, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(874, 4106, F8, 21) (dual of [4106, 4032, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,9]) [i] based on
- 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(865, 4097, F8, 19) (dual of [4097, 4032, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 88−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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([0,10]) ⊂ C([0,9]) [i] based on
- discarding factors / shortening the dual code based on linear OA(874, 4106, F8, 21) (dual of [4106, 4032, 22]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(874, 3330, F8, 21) (dual of [3330, 3256, 22]-code), using
- discarding factors / shortening the dual code based on linear OOA(874, 3330, F8, 3, 21) (dual of [(3330, 3), 9916, 22]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.