Information on Result #1743800
Digital (13, 25, 1025)-net over F64, using net defined by OOA based on linear OOA(6425, 1025, F64, 15, 12) (dual of [(1025, 15), 15350, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(6425, 2051, F64, 3, 12) (dual of [(2051, 3), 6128, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6425, 2052, F64, 3, 12) (dual of [(2052, 3), 6131, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(6425, 2052, F64, 2, 12) (dual of [(2052, 2), 4079, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6425, 4104, F64, 12) (dual of [4104, 4079, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(8) [i] based on
- linear OA(6423, 4096, F64, 12) (dual of [4096, 4073, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(6417, 4096, F64, 9) (dual of [4096, 4079, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(642, 8, F64, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,64)), using
- discarding factors / shortening the dual code based on linear OA(642, 64, F64, 2) (dual of [64, 62, 3]-code or 64-arc in PG(1,64)), using
- Reed–Solomon code RS(62,64) [i]
- discarding factors / shortening the dual code based on linear OA(642, 64, F64, 2) (dual of [64, 62, 3]-code or 64-arc in PG(1,64)), using
- construction X applied to Ce(11) ⊂ Ce(8) [i] based on
- OOA 2-folding [i] based on linear OA(6425, 4104, F64, 12) (dual of [4104, 4079, 13]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(6425, 2052, F64, 2, 12) (dual of [(2052, 2), 4079, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6425, 2052, F64, 3, 12) (dual of [(2052, 3), 6131, 13]-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.