Information on Result #1621427
Linear OOA(3128, 1005, F3, 5, 25) (dual of [(1005, 5), 4897, 26]-NRT-code), using OOA 2-folding based on linear OOA(3128, 2010, F3, 3, 25) (dual of [(2010, 3), 5902, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3128, 2011, F3, 3, 25) (dual of [(2011, 3), 5905, 26]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3128, 2011, F3, 25) (dual of [2011, 1883, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(3128, 2231, F3, 25) (dual of [2231, 2103, 26]-code), using
- 5 times code embedding in larger space [i] based on linear OA(3123, 2226, F3, 25) (dual of [2226, 2103, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,9]) [i] based on
- linear OA(3113, 2188, F3, 25) (dual of [2188, 2075, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(385, 2188, F3, 19) (dual of [2188, 2103, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(310, 38, F3, 5) (dual of [38, 28, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(310, 39, F3, 5) (dual of [39, 29, 6]-code), using
- construction X applied to C([0,12]) ⊂ C([0,9]) [i] based on
- 5 times code embedding in larger space [i] based on linear OA(3123, 2226, F3, 25) (dual of [2226, 2103, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(3128, 2231, F3, 25) (dual of [2231, 2103, 26]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3128, 2011, F3, 25) (dual of [2011, 1883, 26]-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.