Information on Result #690832
Linear OA(978, 103, F9, 50) (dual of [103, 25, 51]-code), using construction X applied to C([1,101]) ⊂ C([1,79]) based on
- linear OA(965, 80, F9, 50) (dual of [80, 15, 51]-code), using contraction [i] based on linear OA(9145, 160, F9, 101) (dual of [160, 15, 102]-code), using the narrow-sense BCH-code C(I) with length 160 | 94−1, defining interval I = [1,101], and designed minimum distance d ≥ |I|+1 = 102 [i]
- linear OA(955, 80, F9, 39) (dual of [80, 25, 40]-code), using contraction [i] based on linear OA(9135, 160, F9, 79) (dual of [160, 25, 80]-code), using the narrow-sense BCH-code C(I) with length 160 | 94−1, defining interval I = [1,79], and designed minimum distance d ≥ |I|+1 = 80 [i]
- linear OA(913, 23, F9, 10) (dual of [23, 10, 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
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.