Information on Result #1719870
Digital (151, 179, 9306)-net over F4, using net defined by OOA based on linear OOA(4179, 9306, F4, 33, 28) (dual of [(9306, 33), 306919, 29]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(4179, 46531, F4, 3, 28) (dual of [(46531, 3), 139414, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4179, 46534, F4, 3, 28) (dual of [(46534, 3), 139423, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4179, 46534, F4, 28) (dual of [46534, 46355, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(4179, 65586, F4, 28) (dual of [65586, 65407, 29]-code), using
- construction X applied to Ce(28) ⊂ Ce(21) [i] based on
- linear OA(4169, 65536, F4, 29) (dual of [65536, 65367, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(4129, 65536, F4, 22) (dual of [65536, 65407, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(410, 50, F4, 5) (dual of [50, 40, 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(28) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(4179, 65586, F4, 28) (dual of [65586, 65407, 29]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4179, 46534, F4, 28) (dual of [46534, 46355, 29]-code), using
- discarding factors / shortening the dual code based on linear OOA(4179, 46534, F4, 3, 28) (dual of [(46534, 3), 139423, 29]-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.