Information on Result #896613
Linear OOA(8128, 1048612, F8, 2, 19) (dual of [(1048612, 2), 2097096, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(814, 28, F8, 2, 9) (dual of [(28, 2), 42, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,46P) [i] based on function field F/F8 with g(F) = 5 and N(F) ≥ 28, using
- linear OOA(8114, 1048584, F8, 2, 19) (dual of [(1048584, 2), 2097054, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8114, 2097168, F8, 19) (dual of [2097168, 2097054, 20]-code), using
- construction X applied to C([0,9]) ⊂ C([0,8]) [i] based on
- linear OA(8113, 2097153, F8, 19) (dual of [2097153, 2097040, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 814−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(899, 2097153, F8, 17) (dual of [2097153, 2097054, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 814−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(81, 15, F8, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,9]) ⊂ C([0,8]) [i] based on
- OOA 2-folding [i] based on linear OA(8114, 2097168, F8, 19) (dual of [2097168, 2097054, 20]-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.