Information on Result #1716368
Digital (195, 226, 15873)-net over F3, using net defined by OOA based on linear OOA(3226, 15873, F3, 35, 31) (dual of [(15873, 35), 555329, 32]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3226, 47620, F3, 5, 31) (dual of [(47620, 5), 237874, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3226, 47622, F3, 5, 31) (dual of [(47622, 5), 237884, 32]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3226, 47622, F3, 3, 31) (dual of [(47622, 3), 142640, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3226, 59058, F3, 3, 31) (dual of [(59058, 3), 176948, 32]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3226, 177174, F3, 31) (dual of [177174, 176948, 32]-code), using
- 1 times code embedding in larger space [i] based on linear OA(3225, 177173, F3, 31) (dual of [177173, 176948, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(27) [i] based on
- linear OA(3221, 177147, F3, 31) (dual of [177147, 176926, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(3199, 177147, F3, 28) (dual of [177147, 176948, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(34, 26, F3, 2) (dual of [26, 22, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to Ce(30) ⊂ Ce(27) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(3225, 177173, F3, 31) (dual of [177173, 176948, 32]-code), using
- OOA 3-folding [i] based on linear OA(3226, 177174, F3, 31) (dual of [177174, 176948, 32]-code), using
- discarding factors / shortening the dual code based on linear OOA(3226, 59058, F3, 3, 31) (dual of [(59058, 3), 176948, 32]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3226, 47622, F3, 3, 31) (dual of [(47622, 3), 142640, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3226, 47622, F3, 5, 31) (dual of [(47622, 5), 237884, 32]-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.