Information on Result #3257665
Digital (127, 149, 23833)-net over F4, using 41 times duplication based on digital (126, 148, 23833)-net over F4, using
- net defined by OOA [i] based on linear OOA(4148, 23833, F4, 22, 22) (dual of [(23833, 22), 524178, 23]-NRT-code), using
- OA 11-folding and stacking [i] based on linear OA(4148, 262163, F4, 22) (dual of [262163, 262015, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(4148, 262165, F4, 22) (dual of [262165, 262017, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(18) [i] based on
- linear OA(4145, 262144, F4, 22) (dual of [262144, 261999, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(4127, 262144, F4, 19) (dual of [262144, 262017, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- construction X applied to Ce(21) ⊂ Ce(18) [i] based on
- discarding factors / shortening the dual code based on linear OA(4148, 262165, F4, 22) (dual of [262165, 262017, 23]-code), using
- OA 11-folding and stacking [i] based on linear OA(4148, 262163, F4, 22) (dual of [262163, 262015, 23]-code), using
Mode: Constructive and 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.