Information on Result #1718732
Digital (98, 119, 3619)-net over F4, using net defined by OOA based on linear OOA(4119, 3619, F4, 27, 21) (dual of [(3619, 27), 97594, 22]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(4119, 14477, F4, 3, 21) (dual of [(14477, 3), 43312, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4119, 14480, F4, 3, 21) (dual of [(14480, 3), 43321, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4119, 14480, F4, 21) (dual of [14480, 14361, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(4119, 16432, F4, 21) (dual of [16432, 16313, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(13) [i] based on
- linear OA(4106, 16384, F4, 21) (dual of [16384, 16278, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(471, 16384, F4, 14) (dual of [16384, 16313, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(413, 48, F4, 6) (dual of [48, 35, 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(20) ⊂ Ce(13) [i] based on
- discarding factors / shortening the dual code based on linear OA(4119, 16432, F4, 21) (dual of [16432, 16313, 22]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4119, 14480, F4, 21) (dual of [14480, 14361, 22]-code), using
- discarding factors / shortening the dual code based on linear OOA(4119, 14480, F4, 3, 21) (dual of [(14480, 3), 43321, 22]-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.