Information on Result #1621513
Linear OOA(3135, 906, F3, 5, 27) (dual of [(906, 5), 4395, 28]-NRT-code), using OOA 2-folding based on linear OOA(3135, 1812, F3, 3, 27) (dual of [(1812, 3), 5301, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3135, 1813, F3, 3, 27) (dual of [(1813, 3), 5304, 28]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3135, 1813, F3, 27) (dual of [1813, 1678, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(3135, 2216, F3, 27) (dual of [2216, 2081, 28]-code), using
- construction X applied to C([0,13]) ⊂ C([0,10]) [i] based on
- linear OA(3127, 2188, F3, 27) (dual of [2188, 2061, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(399, 2188, F3, 21) (dual of [2188, 2089, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(38, 28, F3, 5) (dual of [28, 20, 6]-code), using
- dual code (with bound on d by construction Y1) [i] based on
- construction X applied to C([0,13]) ⊂ C([0,10]) [i] based on
- discarding factors / shortening the dual code based on linear OA(3135, 2216, F3, 27) (dual of [2216, 2081, 28]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3135, 1813, F3, 27) (dual of [1813, 1678, 28]-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.