Information on Result #641567
Linear OA(9104, 115, F9, 72) (dual of [115, 11, 73]-code), using juxtaposition based on
- linear OA(914, 25, F9, 11) (dual of [25, 11, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(914, 28, F9, 11) (dual of [28, 14, 12]-code), using
- extended algebraic-geometric code AGe(F,16P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- extended algebraic-geometric code AGe(F,16P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- discarding factors / shortening the dual code based on linear OA(914, 28, F9, 11) (dual of [28, 14, 12]-code), using
- linear OA(979, 90, F9, 60) (dual of [90, 11, 61]-code), using
- discarding factors / shortening the dual code based on linear OA(979, 91, F9, 60) (dual of [91, 12, 61]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 91 | 93−1, defining interval I = [0,46], and minimum distance d ≥ |{−13,−12,…,46}|+1 = 61 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(979, 91, F9, 60) (dual of [91, 12, 61]-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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.