Information on Result #1439508
Linear OOA(5131, 210941, F5, 2, 20) (dual of [(210941, 2), 421751, 21]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(5131, 210941, F5, 20) (dual of [210941, 210810, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(5131, 390632, F5, 20) (dual of [390632, 390501, 21]-code), using
- construction X applied to C([0,10]) ⊂ C([0,8]) [i] based on
- linear OA(5129, 390626, F5, 21) (dual of [390626, 390497, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 390626 | 516−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(5113, 390626, F5, 17) (dual of [390626, 390513, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 390626 | 516−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(52, 6, F5, 2) (dual of [6, 4, 3]-code or 6-arc in PG(1,5)), using
- extended Reed–Solomon code RSe(4,5) [i]
- Hamming code H(2,5) [i]
- construction X applied to C([0,10]) ⊂ C([0,8]) [i] based on
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.