Information on Result #1730000
Digital (112, 145, 4628)-net over F8, using net defined by OOA based on linear OOA(8145, 4628, F8, 39, 33) (dual of [(4628, 39), 180347, 34]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(8145, 27769, F8, 3, 33) (dual of [(27769, 3), 83162, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8145, 27774, F8, 3, 33) (dual of [(27774, 3), 83177, 34]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8145, 27774, F8, 33) (dual of [27774, 27629, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(8145, 32783, F8, 33) (dual of [32783, 32638, 34]-code), using
- construction X applied to C([0,16]) ⊂ C([0,14]) [i] based on
- linear OA(8141, 32769, F8, 33) (dual of [32769, 32628, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 810−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(8131, 32769, F8, 29) (dual of [32769, 32638, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 810−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(84, 14, F8, 3) (dual of [14, 10, 4]-code or 14-cap in PG(3,8)), using
- construction X applied to C([0,16]) ⊂ C([0,14]) [i] based on
- discarding factors / shortening the dual code based on linear OA(8145, 32783, F8, 33) (dual of [32783, 32638, 34]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8145, 27774, F8, 33) (dual of [27774, 27629, 34]-code), using
- discarding factors / shortening the dual code based on linear OOA(8145, 27774, F8, 3, 33) (dual of [(27774, 3), 83177, 34]-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.