Information on Result #1713820
Digital (114, 131, 37640)-net over F3, using net defined by OOA based on linear OOA(3131, 37640, F3, 20, 17) (dual of [(37640, 20), 752669, 18]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3131, 75281, F3, 4, 17) (dual of [(75281, 4), 300993, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3131, 75281, F3, 2, 17) (dual of [(75281, 2), 150431, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3131, 88594, F3, 2, 17) (dual of [(88594, 2), 177057, 18]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3130, 88594, F3, 2, 17) (dual of [(88594, 2), 177058, 18]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3128, 88593, F3, 2, 17) (dual of [(88593, 2), 177058, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3128, 177186, F3, 17) (dual of [177186, 177058, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(12) [i] based on
- linear OA(3122, 177147, F3, 17) (dual of [177147, 177025, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(389, 177147, F3, 13) (dual of [177147, 177058, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(36, 39, F3, 3) (dual of [39, 33, 4]-code or 39-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 Ce(16) ⊂ Ce(12) [i] based on
- OOA 2-folding [i] based on linear OA(3128, 177186, F3, 17) (dual of [177186, 177058, 18]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3128, 88593, F3, 2, 17) (dual of [(88593, 2), 177058, 18]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3130, 88594, F3, 2, 17) (dual of [(88594, 2), 177058, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3131, 88594, F3, 2, 17) (dual of [(88594, 2), 177057, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3131, 75281, F3, 2, 17) (dual of [(75281, 2), 150431, 18]-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.