Information on Result #1747060
Digital (14, 28, 2731)-net over F128, using net defined by OOA based on linear OOA(12828, 2731, F128, 20, 14) (dual of [(2731, 20), 54592, 15]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(12828, 5463, F128, 4, 14) (dual of [(5463, 4), 21824, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12828, 5463, F128, 3, 14) (dual of [(5463, 3), 16361, 15]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12828, 16389, F128, 14) (dual of [16389, 16361, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(11) [i] based on
- linear OA(12827, 16384, F128, 14) (dual of [16384, 16357, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(12823, 16384, F128, 12) (dual of [16384, 16361, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(1281, 5, F128, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(13) ⊂ Ce(11) [i] based on
- OOA 3-folding [i] based on linear OA(12828, 16389, F128, 14) (dual of [16389, 16361, 15]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12828, 5463, F128, 3, 14) (dual of [(5463, 3), 16361, 15]-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.