Information on Result #1725732
Digital (41, 58, 577)-net over F7, using net defined by OOA based on linear OOA(758, 577, F7, 21, 17) (dual of [(577, 21), 12059, 18]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(758, 1732, F7, 3, 17) (dual of [(1732, 3), 5138, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(758, 1733, F7, 3, 17) (dual of [(1733, 3), 5141, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(758, 1733, F7, 17) (dual of [1733, 1675, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(758, 2411, F7, 17) (dual of [2411, 2353, 18]-code), using
- construction X applied to C([0,8]) ⊂ C([0,7]) [i] based on
- linear OA(757, 2402, F7, 17) (dual of [2402, 2345, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 2402 | 78−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(749, 2402, F7, 15) (dual of [2402, 2353, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 2402 | 78−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(71, 9, F7, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, s, F7, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,8]) ⊂ C([0,7]) [i] based on
- discarding factors / shortening the dual code based on linear OA(758, 2411, F7, 17) (dual of [2411, 2353, 18]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(758, 1733, F7, 17) (dual of [1733, 1675, 18]-code), using
- discarding factors / shortening the dual code based on linear OOA(758, 1733, F7, 3, 17) (dual of [(1733, 3), 5141, 18]-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.