Information on Result #1714238
Digital (125, 144, 29533)-net over F3, using net defined by OOA based on linear OOA(3144, 29533, F3, 25, 19) (dual of [(29533, 25), 738181, 20]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3144, 59067, F3, 5, 19) (dual of [(59067, 5), 295191, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3144, 59067, F3, 3, 19) (dual of [(59067, 3), 177057, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3144, 177201, F3, 19) (dual of [177201, 177057, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(3144, 177203, F3, 19) (dual of [177203, 177059, 20]-code), using
- construction X applied to C([0,9]) ⊂ C([0,6]) [i] based on
- linear OA(3133, 177148, F3, 19) (dual of [177148, 177015, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 177148 | 322−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(389, 177148, F3, 13) (dual of [177148, 177059, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 177148 | 322−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(311, 55, F3, 5) (dual of [55, 44, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-code), using
- construction X applied to C([0,9]) ⊂ C([0,6]) [i] based on
- discarding factors / shortening the dual code based on linear OA(3144, 177203, F3, 19) (dual of [177203, 177059, 20]-code), using
- OOA 3-folding [i] based on linear OA(3144, 177201, F3, 19) (dual of [177201, 177057, 20]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3144, 59067, F3, 3, 19) (dual of [(59067, 3), 177057, 20]-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.