Information on Result #691451
Linear OA(980, 118, F9, 42) (dual of [118, 38, 43]-code), using construction XX applied to Ce(41) ⊂ Ce(30) ⊂ Ce(25) based on
- linear OA(959, 81, F9, 42) (dual of [81, 22, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(946, 81, F9, 31) (dual of [81, 35, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(943, 81, F9, 26) (dual of [81, 38, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(914, 30, F9, 10) (dual of [30, 16, 11]-code), using
- extended algebraic-geometric code AGe(F,19P) [i] based on function field F/F9 with g(F) = 4 and N(F) ≥ 30, using
- linear OA(94, 7, F9, 4) (dual of [7, 3, 5]-code or 7-arc in PG(3,9)), using
- discarding factors / shortening the dual code based on linear OA(94, 9, F9, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,9)), using
- Reed–Solomon code RS(5,9) [i]
- discarding factors / shortening the dual code based on linear OA(94, 9, F9, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,9)), 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.