Information on Result #1717392
Digital (23, 32, 258)-net over F4, using net defined by OOA based on linear OOA(432, 258, F4, 10, 9) (dual of [(258, 10), 2548, 10]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(432, 517, F4, 2, 9) (dual of [(517, 2), 1002, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(432, 518, F4, 2, 9) (dual of [(518, 2), 1004, 10]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(432, 518, F4, 9) (dual of [518, 486, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(432, 1030, F4, 9) (dual of [1030, 998, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(6) [i] based on
- linear OA(431, 1024, F4, 9) (dual of [1024, 993, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(426, 1024, F4, 7) (dual of [1024, 998, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(41, 6, F4, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(8) ⊂ Ce(6) [i] based on
- discarding factors / shortening the dual code based on linear OA(432, 1030, F4, 9) (dual of [1030, 998, 10]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(432, 518, F4, 9) (dual of [518, 486, 10]-code), using
- discarding factors / shortening the dual code based on linear OOA(432, 518, F4, 2, 9) (dual of [(518, 2), 1004, 10]-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.