Information on Result #641608
Linear OA(997, 106, F9, 74) (dual of [106, 9, 75]-code), using juxtaposition based on
- linear OA(915, 24, F9, 12) (dual of [24, 9, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(915, 28, F9, 12) (dual of [28, 13, 13]-code), using
- extended algebraic-geometric code AGe(F,15P) [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,15P) [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(915, 28, F9, 12) (dual of [28, 13, 13]-code), using
- linear OA(973, 82, F9, 61) (dual of [82, 9, 62]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 82 | 94−1, defining interval I = [0,30], and minimum distance d ≥ |{−30,−29,…,30}|+1 = 62 (BCH-bound) [i]
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.