Information on Result #1621710
Linear OOA(3170, 2128, F3, 5, 30) (dual of [(2128, 5), 10470, 31]-NRT-code), using OOA 2-folding based on linear OOA(3170, 4256, F3, 3, 30) (dual of [(4256, 3), 12598, 31]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3170, 4256, F3, 30) (dual of [4256, 4086, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(3170, 6603, F3, 30) (dual of [6603, 6433, 31]-code), using
- 1 times code embedding in larger space [i] based on linear OA(3169, 6602, F3, 30) (dual of [6602, 6433, 31]-code), using
- construction X applied to C([0,15]) ⊂ C([0,12]) [i] based on
- linear OA(3161, 6562, F3, 31) (dual of [6562, 6401, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(3129, 6562, F3, 25) (dual of [6562, 6433, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(38, 40, F3, 4) (dual of [40, 32, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(38, 41, F3, 4) (dual of [41, 33, 5]-code), using
- the narrow-sense BCH-code C(I) with length 41 | 38−1, defining interval I = [1,1], and minimum distance d ≥ |{−3,−1,1,3}|+1 = 5 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(38, 41, F3, 4) (dual of [41, 33, 5]-code), using
- construction X applied to C([0,15]) ⊂ C([0,12]) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(3169, 6602, F3, 30) (dual of [6602, 6433, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(3170, 6603, F3, 30) (dual of [6603, 6433, 31]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.