Information on Result #1728288
Digital (89, 110, 42944)-net over F8, using net defined by OOA based on linear OOA(8110, 42944, F8, 27, 21) (dual of [(42944, 27), 1159378, 22]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(8110, 171777, F8, 3, 21) (dual of [(171777, 3), 515221, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8110, 171780, F8, 3, 21) (dual of [(171780, 3), 515230, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8110, 171780, F8, 21) (dual of [171780, 171670, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(8110, 262158, F8, 21) (dual of [262158, 262048, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,9]) [i] based on
- linear OA(8109, 262145, F8, 21) (dual of [262145, 262036, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 812−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(897, 262145, F8, 19) (dual of [262145, 262048, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 812−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(81, 13, F8, 1) (dual of [13, 12, 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(8110, 262158, F8, 21) (dual of [262158, 262048, 22]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8110, 171780, F8, 21) (dual of [171780, 171670, 22]-code), using
- discarding factors / shortening the dual code based on linear OOA(8110, 171780, F8, 3, 21) (dual of [(171780, 3), 515230, 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.