Information on Result #1485312
Linear OOA(582, 1313, F5, 3, 20) (dual of [(1313, 3), 3857, 21]-NRT-code), using OOA 2-folding based on linear OOA(582, 2626, F5, 2, 20) (dual of [(2626, 2), 5170, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(582, 2627, F5, 2, 20) (dual of [(2627, 2), 5172, 21]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(582, 2627, F5, 20) (dual of [2627, 2545, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(582, 3136, F5, 20) (dual of [3136, 3054, 21]-code), using
- construction X applied to Ce(20) ⊂ Ce(17) [i] based on
- linear OA(581, 3125, F5, 21) (dual of [3125, 3044, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(571, 3125, F5, 18) (dual of [3125, 3054, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(51, 11, F5, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(20) ⊂ Ce(17) [i] based on
- discarding factors / shortening the dual code based on linear OA(582, 3136, F5, 20) (dual of [3136, 3054, 21]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(582, 2627, F5, 20) (dual of [2627, 2545, 21]-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.