Information on Result #1707686
Digital (44, 53, 2661)-net over F2, using net defined by OOA based on linear OOA(253, 2661, F2, 9, 9) (dual of [(2661, 9), 23896, 10]-NRT-code), using
- appending kth column [i] based on linear OOA(253, 2661, F2, 8, 9) (dual of [(2661, 8), 21235, 10]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(253, 2661, F2, 3, 9) (dual of [(2661, 3), 7930, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(253, 2731, F2, 3, 9) (dual of [(2731, 3), 8140, 10]-NRT-code), using
- OOA 3-folding [i] based on linear OA(253, 8193, F2, 9) (dual of [8193, 8140, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8193 | 226−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(253, 8193, F2, 9) (dual of [8193, 8140, 10]-code), using
- discarding factors / shortening the dual code based on linear OOA(253, 2731, F2, 3, 9) (dual of [(2731, 3), 8140, 10]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(253, 2661, F2, 3, 9) (dual of [(2661, 3), 7930, 10]-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.