Information on Result #1714266
Digital (145, 164, 212223)-net over F3, using net defined by OOA based on linear OOA(3164, 212223, F3, 25, 19) (dual of [(212223, 25), 5305411, 20]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3164, 424447, F3, 5, 19) (dual of [(424447, 5), 2122071, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3164, 424447, F3, 3, 19) (dual of [(424447, 3), 1273177, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3164, 531452, F3, 3, 19) (dual of [(531452, 3), 1594192, 20]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3163, 531452, F3, 3, 19) (dual of [(531452, 3), 1594193, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3163, 1594356, F3, 19) (dual of [1594356, 1594193, 20]-code), using
- construction X applied to C([0,9]) ⊂ C([0,7]) [i] based on
- linear OA(3157, 1594324, F3, 19) (dual of [1594324, 1594167, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 1594324 | 326−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(3131, 1594324, F3, 15) (dual of [1594324, 1594193, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 1594324 | 326−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(36, 32, F3, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
- construction X applied to C([0,9]) ⊂ C([0,7]) [i] based on
- OOA 3-folding [i] based on linear OA(3163, 1594356, F3, 19) (dual of [1594356, 1594193, 20]-code), using
- 31 times duplication [i] based on linear OOA(3163, 531452, F3, 3, 19) (dual of [(531452, 3), 1594193, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3164, 531452, F3, 3, 19) (dual of [(531452, 3), 1594192, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3164, 424447, F3, 3, 19) (dual of [(424447, 3), 1273177, 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.