Information on Result #1720980
Digital (198, 234, 10043)-net over F4, using net defined by OOA based on linear OOA(4234, 10043, F4, 39, 36) (dual of [(10043, 39), 391443, 37]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(4234, 60259, F4, 3, 36) (dual of [(60259, 3), 180543, 37]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4234, 60261, F4, 3, 36) (dual of [(60261, 3), 180549, 37]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4234, 60261, F4, 36) (dual of [60261, 60027, 37]-code), using
- discarding factors / shortening the dual code based on linear OA(4234, 65601, F4, 36) (dual of [65601, 65367, 37]-code), using
- 4 times code embedding in larger space [i] based on linear OA(4230, 65597, F4, 36) (dual of [65597, 65367, 37]-code), using
- construction X applied to Ce(36) ⊂ Ce(28) [i] based on
- linear OA(4217, 65536, F4, 37) (dual of [65536, 65319, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- 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(413, 61, F4, 6) (dual of [61, 48, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(413, 63, F4, 6) (dual of [63, 50, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(413, 63, F4, 6) (dual of [63, 50, 7]-code), using
- construction X applied to Ce(36) ⊂ Ce(28) [i] based on
- 4 times code embedding in larger space [i] based on linear OA(4230, 65597, F4, 36) (dual of [65597, 65367, 37]-code), using
- discarding factors / shortening the dual code based on linear OA(4234, 65601, F4, 36) (dual of [65601, 65367, 37]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4234, 60261, F4, 36) (dual of [60261, 60027, 37]-code), using
- discarding factors / shortening the dual code based on linear OOA(4234, 60261, F4, 3, 36) (dual of [(60261, 3), 180549, 37]-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.