Information on Result #1773105
Digital (57, 67, 131082)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(467, 131082, F4, 2, 10) (dual of [(131082, 2), 262097, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(467, 262164, F4, 10) (dual of [262164, 262097, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(467, 262165, F4, 10) (dual of [262165, 262098, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(6) [i] based on
- linear OA(464, 262144, F4, 10) (dual of [262144, 262080, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(446, 262144, F4, 7) (dual of [262144, 262098, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(9) ⊂ Ce(6) [i] based on
- discarding factors / shortening the dual code based on linear OA(467, 262165, F4, 10) (dual of [262165, 262098, 11]-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.