Information on Result #896608
Linear OOA(894, 16414, F8, 2, 19) (dual of [(16414, 2), 32734, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(812, 24, F8, 2, 9) (dual of [(24, 2), 36, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,38P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- extended algebraic-geometric NRT-code AGe(2;F,38P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- linear OOA(882, 16390, F8, 2, 19) (dual of [(16390, 2), 32698, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(882, 32780, F8, 19) (dual of [32780, 32698, 20]-code), using
- construction X applied to C([0,9]) ⊂ C([0,8]) [i] based on
- linear OA(881, 32769, F8, 19) (dual of [32769, 32688, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 810−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(871, 32769, F8, 17) (dual of [32769, 32698, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 810−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(81, 11, F8, 1) (dual of [11, 10, 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(882, 32780, F8, 19) (dual of [32780, 32698, 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.