Information on Result #1707550
Digital (68, 76, 174762)-net over F2, using net defined by OOA based on linear OOA(276, 174762, F2, 8, 8) (dual of [(174762, 8), 1398020, 9]-NRT-code), using
- appending kth column [i] based on linear OOA(276, 174762, F2, 7, 8) (dual of [(174762, 7), 1223258, 9]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(276, 174762, F2, 3, 8) (dual of [(174762, 3), 524210, 9]-NRT-code), using
- OOA 3-folding [i] based on linear OA(276, 524286, F2, 8) (dual of [524286, 524210, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(276, 524288, F2, 8) (dual of [524288, 524212, 9]-code), using
- 1 times truncation [i] based on linear OA(277, 524289, F2, 9) (dual of [524289, 524212, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 524289 | 238−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(277, 524289, F2, 9) (dual of [524289, 524212, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(276, 524288, F2, 8) (dual of [524288, 524212, 9]-code), using
- OOA 3-folding [i] based on linear OA(276, 524286, F2, 8) (dual of [524286, 524210, 9]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(276, 174762, F2, 3, 8) (dual of [(174762, 3), 524210, 9]-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.