Information on Result #718368
Linear OA(9102, 119, F9, 66) (dual of [119, 17, 67]-code), using construction XX applied to C1 = C([61,41]), C2 = C([0,49]), C3 = C1 + C2 = C([0,41]), and C∩ = C1 ∩ C2 = C([61,49]) based on
- linear OA(974, 80, F9, 61) (dual of [80, 6, 62]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−19,−18,…,41}, and designed minimum distance d ≥ |I|+1 = 62 [i]
- linear OA(965, 80, F9, 50) (dual of [80, 15, 51]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,49], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(976, 80, F9, 69) (dual of [80, 4, 70]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−19,−18,…,49}, and designed minimum distance d ≥ |I|+1 = 70 [i]
- linear OA(959, 80, F9, 42) (dual of [80, 21, 43]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,41], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(919, 30, F9, 15) (dual of [30, 11, 16]-code), using
- extended algebraic-geometric code AGe(F,14P) [i] based on function field F/F9 with g(F) = 4 and N(F) ≥ 30, 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.