Information on Result #1741402
Digital (39, 59, 3447)-net over F32, using net defined by OOA based on linear OOA(3259, 3447, F32, 22, 20) (dual of [(3447, 22), 75775, 21]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(3259, 17236, F32, 2, 20) (dual of [(17236, 2), 34413, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3259, 17238, F32, 2, 20) (dual of [(17238, 2), 34417, 21]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3259, 17238, F32, 20) (dual of [17238, 17179, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(3259, 32775, F32, 20) (dual of [32775, 32716, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(17) [i] based on
- linear OA(3258, 32768, F32, 20) (dual of [32768, 32710, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(3252, 32768, F32, 18) (dual of [32768, 32716, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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 Ce(19) ⊂ Ce(17) [i] based on
- discarding factors / shortening the dual code based on linear OA(3259, 32775, F32, 20) (dual of [32775, 32716, 21]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3259, 17238, F32, 20) (dual of [17238, 17179, 21]-code), using
- discarding factors / shortening the dual code based on linear OOA(3259, 17238, F32, 2, 20) (dual of [(17238, 2), 34417, 21]-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.