Information on Result #1719268
Digital (170, 194, 144333)-net over F4, using net defined by OOA based on linear OOA(4194, 144333, F4, 27, 24) (dual of [(144333, 27), 3896797, 25]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(4194, 577333, F4, 3, 24) (dual of [(577333, 3), 1731805, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4194, 577334, F4, 3, 24) (dual of [(577334, 3), 1731808, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4194, 577334, F4, 24) (dual of [577334, 577140, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(4194, 1048641, F4, 24) (dual of [1048641, 1048447, 25]-code), using
- construction X applied to C([0,12]) ⊂ C([0,8]) [i] based on
- linear OA(4181, 1048577, F4, 25) (dual of [1048577, 1048396, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(4121, 1048577, F4, 17) (dual of [1048577, 1048456, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(413, 64, F4, 6) (dual of [64, 51, 7]-code), using
- an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- construction X applied to C([0,12]) ⊂ C([0,8]) [i] based on
- discarding factors / shortening the dual code based on linear OA(4194, 1048641, F4, 24) (dual of [1048641, 1048447, 25]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4194, 577334, F4, 24) (dual of [577334, 577140, 25]-code), using
- discarding factors / shortening the dual code based on linear OOA(4194, 577334, F4, 3, 24) (dual of [(577334, 3), 1731808, 25]-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.