Information on Result #691410
Linear OA(989, 107, F9, 60) (dual of [107, 18, 61]-code), using construction XX applied to Ce(59) ⊂ Ce(49) ⊂ Ce(43) based on
- linear OA(972, 81, F9, 60) (dual of [81, 9, 61]-code), using an extension Ce(59) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,59], and designed minimum distance d ≥ |I|+1 = 60 [i]
- linear OA(965, 81, F9, 50) (dual of [81, 16, 51]-code), using an extension Ce(49) of 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(963, 81, F9, 44) (dual of [81, 18, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [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(95, 7, F9, 5) (dual of [7, 2, 6]-code or 7-arc in PG(4,9)), using
- discarding factors / shortening the dual code based on linear OA(95, 9, F9, 5) (dual of [9, 4, 6]-code or 9-arc in PG(4,9)), using
- Reed–Solomon code RS(4,9) [i]
- discarding factors / shortening the dual code based on linear OA(95, 9, F9, 5) (dual of [9, 4, 6]-code or 9-arc in PG(4,9)), 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.