Information on Result #1717730
Digital (36, 49, 342)-net over F4, using net defined by OOA based on linear OOA(449, 342, F4, 15, 13) (dual of [(342, 15), 5081, 14]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(449, 685, F4, 3, 13) (dual of [(685, 3), 2006, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(449, 686, F4, 3, 13) (dual of [(686, 3), 2009, 14]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(449, 686, F4, 13) (dual of [686, 637, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(449, 1037, F4, 13) (dual of [1037, 988, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(9) [i] based on
- linear OA(446, 1024, F4, 13) (dual of [1024, 978, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(436, 1024, F4, 10) (dual of [1024, 988, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(43, 13, F4, 2) (dual of [13, 10, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- construction X applied to Ce(12) ⊂ Ce(9) [i] based on
- discarding factors / shortening the dual code based on linear OA(449, 1037, F4, 13) (dual of [1037, 988, 14]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(449, 686, F4, 13) (dual of [686, 637, 14]-code), using
- discarding factors / shortening the dual code based on linear OOA(449, 686, F4, 3, 13) (dual of [(686, 3), 2009, 14]-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.