Information on Result #691400
Linear OA(999, 118, F9, 62) (dual of [118, 19, 63]-code), using construction XX applied to Ce(61) ⊂ Ce(50) ⊂ Ce(42) based on
- linear OA(975, 81, F9, 62) (dual of [81, 6, 63]-code), using an extension Ce(61) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,61], and designed minimum distance d ≥ |I|+1 = 62 [i]
- linear OA(966, 81, F9, 51) (dual of [81, 15, 52]-code), using an extension Ce(50) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(961, 81, F9, 43) (dual of [81, 20, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(914, 27, F9, 11) (dual of [27, 13, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(914, 28, F9, 11) (dual of [28, 14, 12]-code), using
- extended algebraic-geometric code AGe(F,16P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- extended algebraic-geometric code AGe(F,16P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- discarding factors / shortening the dual code based on linear OA(914, 28, F9, 11) (dual of [28, 14, 12]-code), using
- linear OA(96, 10, F9, 6) (dual of [10, 4, 7]-code or 10-arc in PG(5,9)), using
- extended Reed–Solomon code RSe(4,9) [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.