Information on Result #718170
Linear OA(985, 114, F9, 50) (dual of [114, 29, 51]-code), using construction XX applied to C1 = C([9,50]), C2 = C([1,39]), C3 = C1 + C2 = C([9,39]), and C∩ = C1 ∩ C2 = C([1,50]) based on
- linear OA(959, 80, F9, 42) (dual of [80, 21, 43]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {9,10,…,50}, and designed minimum distance d ≥ |I|+1 = 43 [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(965, 80, F9, 50) (dual of [80, 15, 51]-code), using the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(947, 80, F9, 31) (dual of [80, 33, 32]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {9,10,…,39}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(912, 20, F9, 10) (dual of [20, 8, 11]-code), using
- extended algebraic-geometric code AGe(F,9P) [i] based on function field F/F9 with g(F) = 2 and N(F) ≥ 20, using
- linear OA(98, 14, F9, 7) (dual of [14, 6, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(98, 18, F9, 7) (dual of [18, 10, 8]-code), using
- 2 times truncation [i] based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- extended quadratic residue code Qe(20,9) [i]
- 2 times truncation [i] based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(98, 18, F9, 7) (dual of [18, 10, 8]-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.