Information on Result #1767173
Digital (167, 191, 85399)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3191, 85399, F3, 2, 24) (dual of [(85399, 2), 170607, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3191, 88603, F3, 2, 24) (dual of [(88603, 2), 177015, 25]-NRT-code), using
- 2 times NRT-code embedding in larger space [i] based on linear OOA(3187, 88601, F3, 2, 24) (dual of [(88601, 2), 177015, 25]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3187, 177202, F3, 24) (dual of [177202, 177015, 25]-code), using
- 1 times truncation [i] based on linear OA(3188, 177203, F3, 25) (dual of [177203, 177015, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,9]) [i] based on
- linear OA(3177, 177148, F3, 25) (dual of [177148, 176971, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 177148 | 322−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- 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(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([0,12]) ⊂ C([0,9]) [i] based on
- 1 times truncation [i] based on linear OA(3188, 177203, F3, 25) (dual of [177203, 177015, 26]-code), using
- OOA 2-folding [i] based on linear OA(3187, 177202, F3, 24) (dual of [177202, 177015, 25]-code), using
- 2 times NRT-code embedding in larger space [i] based on linear OOA(3187, 88601, F3, 2, 24) (dual of [(88601, 2), 177015, 25]-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.