Information on Result #691372
Linear OA(997, 107, F9, 71) (dual of [107, 10, 72]-code), using construction XX applied to Ce(70) ⊂ Ce(60) ⊂ Ce(52) based on
- linear OA(978, 81, F9, 71) (dual of [81, 3, 72]-code), using an extension Ce(70) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,70], and designed minimum distance d ≥ |I|+1 = 71 [i]
- linear OA(973, 81, F9, 61) (dual of [81, 8, 62]-code), using an extension Ce(60) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,60], and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(970, 81, F9, 53) (dual of [81, 11, 54]-code), using an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(910, 17, F9, 9) (dual of [17, 7, 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(97, 9, F9, 7) (dual of [9, 2, 8]-code or 9-arc in PG(6,9)), using
- Reed–Solomon code RS(2,9) [i]
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.