Information on Result #1740844
Digital (25, 38, 6097)-net over F32, using net defined by OOA based on linear OOA(3238, 6097, F32, 14, 13) (dual of [(6097, 14), 85320, 14]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3238, 18292, F32, 2, 13) (dual of [(18292, 2), 36546, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3238, 18294, F32, 2, 13) (dual of [(18294, 2), 36550, 14]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3238, 18294, F32, 13) (dual of [18294, 18256, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(3238, 32776, F32, 13) (dual of [32776, 32738, 14]-code), using
- construction X applied to C([0,6]) ⊂ C([0,5]) [i] based on
- linear OA(3237, 32769, F32, 13) (dual of [32769, 32732, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(3231, 32769, F32, 11) (dual of [32769, 32738, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(321, 7, F32, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,6]) ⊂ C([0,5]) [i] based on
- discarding factors / shortening the dual code based on linear OA(3238, 32776, F32, 13) (dual of [32776, 32738, 14]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3238, 18294, F32, 13) (dual of [18294, 18256, 14]-code), using
- discarding factors / shortening the dual code based on linear OOA(3238, 18294, F32, 2, 13) (dual of [(18294, 2), 36550, 14]-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.