Information on Result #1716826
Digital (185, 221, 2405)-net over F3, using net defined by OOA based on linear OOA(3221, 2405, F3, 45, 36) (dual of [(2405, 45), 108004, 37]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(3221, 9621, F3, 5, 36) (dual of [(9621, 5), 47884, 37]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3221, 9621, F3, 2, 36) (dual of [(9621, 2), 19021, 37]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3221, 9853, F3, 2, 36) (dual of [(9853, 2), 19485, 37]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3221, 19706, F3, 36) (dual of [19706, 19485, 37]-code), using
- construction X applied to C([0,18]) ⊂ C([0,16]) [i] based on
- linear OA(3217, 19684, F3, 37) (dual of [19684, 19467, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- linear OA(3199, 19684, F3, 33) (dual of [19684, 19485, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(34, 22, F3, 2) (dual of [22, 18, 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 C([0,18]) ⊂ C([0,16]) [i] based on
- OOA 2-folding [i] based on linear OA(3221, 19706, F3, 36) (dual of [19706, 19485, 37]-code), using
- discarding factors / shortening the dual code based on linear OOA(3221, 9853, F3, 2, 36) (dual of [(9853, 2), 19485, 37]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3221, 9621, F3, 2, 36) (dual of [(9621, 2), 19021, 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.