Information on Result #1019025
Linear OOA(8182, 2349, F81, 3, 31) (dual of [(2349, 3), 6965, 32]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8120, 160, F81, 3, 15) (dual of [(160, 3), 460, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,464P) [i] based on function field F/F81 with g(F) = 5 and N(F) ≥ 160, using
- linear OOA(8162, 2189, F81, 3, 31) (dual of [(2189, 3), 6505, 32]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8162, 6567, F81, 31) (dual of [6567, 6505, 32]-code), using
- construction X applied to C([0,15]) ⊂ C([0,14]) [i] based on
- linear OA(8161, 6562, F81, 31) (dual of [6562, 6501, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(8157, 6562, F81, 29) (dual of [6562, 6505, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(811, 5, F81, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,15]) ⊂ C([0,14]) [i] based on
- OOA 3-folding [i] based on linear OA(8162, 6567, F81, 31) (dual of [6567, 6505, 32]-code), using
Mode: Constructive and 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.