Information on Result #1776379
Digital (127, 148, 131096)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4148, 131096, F4, 2, 21) (dual of [(131096, 2), 262044, 22]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(4146, 131095, F4, 2, 21) (dual of [(131095, 2), 262044, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4146, 262190, F4, 21) (dual of [262190, 262044, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(14) [i] based on
- linear OA(4136, 262144, F4, 21) (dual of [262144, 262008, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(4100, 262144, F4, 15) (dual of [262144, 262044, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(410, 46, F4, 5) (dual of [46, 36, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-code), using
- construction X applied to Ce(20) ⊂ Ce(14) [i] based on
- OOA 2-folding [i] based on linear OA(4146, 262190, F4, 21) (dual of [262190, 262044, 22]-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.