Information on Result #717942
Linear OA(977, 123, F9, 39) (dual of [123, 46, 40]-code), using construction XX applied to C1 = C([11,39]), C2 = C([1,29]), C3 = C1 + C2 = C([11,29]), and C∩ = C1 ∩ C2 = C([1,39]) based on
- linear OA(944, 80, F9, 29) (dual of [80, 36, 30]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {11,12,…,39}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(944, 80, F9, 29) (dual of [80, 36, 30]-code), using the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(955, 80, F9, 39) (dual of [80, 25, 40]-code), using the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(931, 80, F9, 19) (dual of [80, 49, 20]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {11,12,…,29}, and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- extended quadratic residue code Qe(20,9) [i]
- linear OA(912, 23, F9, 9) (dual of [23, 11, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(912, 28, F9, 9) (dual of [28, 16, 10]-code), using
- extended algebraic-geometric code AGe(F,18P) [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,18P) [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(912, 28, F9, 9) (dual of [28, 16, 10]-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.