Information on Result #853475
Linear OOA(981, 57, F9, 2, 46) (dual of [(57, 2), 33, 47]-NRT-code), using OOA 2-folding based on linear OA(981, 114, F9, 46) (dual of [114, 33, 47]-code), using
- discarding factors / shortening the dual code based on linear OA(981, 115, F9, 46) (dual of [115, 34, 47]-code), using
- 3 times truncation [i] based on linear OA(984, 118, F9, 49) (dual of [118, 34, 50]-code), using
- construction XX applied to C1 = C([11,49]), C2 = C([1,39]), C3 = C1 + C2 = C([11,39]), and C∩ = C1 ∩ C2 = C([1,49]) [i] based on
- linear OA(955, 80, F9, 39) (dual of [80, 25, 40]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {11,12,…,49}, and designed minimum distance d ≥ |I|+1 = 40 [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(964, 80, F9, 49) (dual of [80, 16, 50]-code), using the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50 [i]
- 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(910, 19, F9, 9) (dual of [19, 9, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- extended quadratic residue code Qe(20,9) [i]
- discarding factors / shortening the dual code based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- linear OA(910, 19, F9, 9) (dual of [19, 9, 10]-code) (see above)
- construction XX applied to C1 = C([11,49]), C2 = C([1,39]), C3 = C1 + C2 = C([11,39]), and C∩ = C1 ∩ C2 = C([1,49]) [i] based on
- 3 times truncation [i] based on linear OA(984, 118, F9, 49) (dual of [118, 34, 50]-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.
Other Results with Identical Parameters
None.
Depending Results
None.