Information on Result #1715112
Digital (157, 180, 24401)-net over F3, using net defined by OOA based on linear OOA(3180, 24401, F3, 28, 23) (dual of [(24401, 28), 683048, 24]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3180, 73204, F3, 4, 23) (dual of [(73204, 4), 292636, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3180, 73205, F3, 4, 23) (dual of [(73205, 4), 292640, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3180, 73205, F3, 2, 23) (dual of [(73205, 2), 146230, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3180, 88602, F3, 2, 23) (dual of [(88602, 2), 177024, 24]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3179, 88602, F3, 2, 23) (dual of [(88602, 2), 177025, 24]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3177, 88601, F3, 2, 23) (dual of [(88601, 2), 177025, 24]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3177, 177202, F3, 23) (dual of [177202, 177025, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(16) [i] based on
- linear OA(3166, 177147, F3, 23) (dual of [177147, 176981, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- 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(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 Ce(22) ⊂ Ce(16) [i] based on
- OOA 2-folding [i] based on linear OA(3177, 177202, F3, 23) (dual of [177202, 177025, 24]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3177, 88601, F3, 2, 23) (dual of [(88601, 2), 177025, 24]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3179, 88602, F3, 2, 23) (dual of [(88602, 2), 177025, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3180, 88602, F3, 2, 23) (dual of [(88602, 2), 177024, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3180, 73205, F3, 2, 23) (dual of [(73205, 2), 146230, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3180, 73205, F3, 4, 23) (dual of [(73205, 4), 292640, 24]-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.