Information on Result #1744928
Digital (54, 82, 19455)-net over F64, using net defined by OOA based on linear OOA(6482, 19455, F64, 33, 28) (dual of [(19455, 33), 641933, 29]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(6482, 97276, F64, 3, 28) (dual of [(97276, 3), 291746, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6482, 97277, F64, 3, 28) (dual of [(97277, 3), 291749, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(6482, 97277, F64, 2, 28) (dual of [(97277, 2), 194472, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6482, 131073, F64, 2, 28) (dual of [(131073, 2), 262064, 29]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6482, 262146, F64, 28) (dual of [262146, 262064, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(6482, 262147, F64, 28) (dual of [262147, 262065, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(26) [i] based on
- linear OA(6482, 262144, F64, 28) (dual of [262144, 262062, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(6479, 262144, F64, 27) (dual of [262144, 262065, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(640, 3, F64, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(27) ⊂ Ce(26) [i] based on
- discarding factors / shortening the dual code based on linear OA(6482, 262147, F64, 28) (dual of [262147, 262065, 29]-code), using
- OOA 2-folding [i] based on linear OA(6482, 262146, F64, 28) (dual of [262146, 262064, 29]-code), using
- discarding factors / shortening the dual code based on linear OOA(6482, 131073, F64, 2, 28) (dual of [(131073, 2), 262064, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(6482, 97277, F64, 2, 28) (dual of [(97277, 2), 194472, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6482, 97277, F64, 3, 28) (dual of [(97277, 3), 291749, 29]-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.