Information on Result #1494072
Linear OOA(9146, 3285, F9, 3, 41) (dual of [(3285, 3), 9709, 42]-NRT-code), using OOA 2-folding based on linear OOA(9146, 6570, F9, 2, 41) (dual of [(6570, 2), 12994, 42]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9146, 6571, F9, 2, 41) (dual of [(6571, 2), 12996, 42]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9146, 6571, F9, 41) (dual of [6571, 6425, 42]-code), using
- construction X applied to C([0,20]) ⊂ C([0,19]) [i] based on
- linear OA(9145, 6562, F9, 41) (dual of [6562, 6417, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 98−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (BCH-bound) [i]
- linear OA(9137, 6562, F9, 39) (dual of [6562, 6425, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 98−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (BCH-bound) [i]
- linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,20]) ⊂ C([0,19]) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9146, 6571, F9, 41) (dual of [6571, 6425, 42]-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.