Information on Result #1745138
Digital (41, 74, 586)-net over F64, using net defined by OOA based on linear OOA(6474, 586, F64, 39, 33) (dual of [(586, 39), 22780, 34]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(6474, 3517, F64, 3, 33) (dual of [(3517, 3), 10477, 34]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6474, 3517, F64, 33) (dual of [3517, 3443, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(6474, 4126, F64, 33) (dual of [4126, 4052, 34]-code), using
- construction X applied to C([0,16]) ⊂ C([0,11]) [i] based on
- linear OA(6465, 4097, F64, 33) (dual of [4097, 4032, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(6445, 4097, F64, 23) (dual of [4097, 4052, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(649, 29, F64, 9) (dual of [29, 20, 10]-code or 29-arc in PG(8,64)), using
- discarding factors / shortening the dual code based on linear OA(649, 64, F64, 9) (dual of [64, 55, 10]-code or 64-arc in PG(8,64)), using
- Reed–Solomon code RS(55,64) [i]
- discarding factors / shortening the dual code based on linear OA(649, 64, F64, 9) (dual of [64, 55, 10]-code or 64-arc in PG(8,64)), using
- construction X applied to C([0,16]) ⊂ C([0,11]) [i] based on
- discarding factors / shortening the dual code based on linear OA(6474, 4126, F64, 33) (dual of [4126, 4052, 34]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6474, 3517, F64, 33) (dual of [3517, 3443, 34]-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.