Information on Result #1016502
Linear OOA(9143, 19727, F9, 3, 27) (dual of [(19727, 3), 59038, 28]-NRT-code), using (u, u+v)-construction based on
- linear OOA(921, 40, F9, 3, 13) (dual of [(40, 3), 99, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,106P) [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 40, using
- linear OOA(9122, 19687, F9, 3, 27) (dual of [(19687, 3), 58939, 28]-NRT-code), using
- OOA 3-folding [i] based on linear OA(9122, 59061, F9, 27) (dual of [59061, 58939, 28]-code), using
- construction X applied to C([0,13]) ⊂ C([0,12]) [i] based on
- linear OA(9121, 59050, F9, 27) (dual of [59050, 58929, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(9111, 59050, F9, 25) (dual of [59050, 58939, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(91, 11, F9, 1) (dual of [11, 10, 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([0,13]) ⊂ C([0,12]) [i] based on
- OOA 3-folding [i] based on linear OA(9122, 59061, F9, 27) (dual of [59061, 58939, 28]-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.