Information on Result #641557
Linear OA(991, 103, F9, 62) (dual of [103, 12, 63]-code), using juxtaposition based on
- linear OA(913, 25, F9, 10) (dual of [25, 12, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(913, 28, F9, 10) (dual of [28, 15, 11]-code), using
- extended algebraic-geometric code AGe(F,17P) [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,17P) [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(913, 28, F9, 10) (dual of [28, 15, 11]-code), using
- linear OA(966, 78, F9, 51) (dual of [78, 12, 52]-code), using
- discarding factors / shortening the dual code based on linear OA(966, 80, F9, 51) (dual of [80, 14, 52]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,50], and designed minimum distance d ≥ |I|+1 = 52 [i]
- discarding factors / shortening the dual code based on linear OA(966, 80, F9, 51) (dual of [80, 14, 52]-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.