Information on Result #718018
Linear OA(979, 118, F9, 42) (dual of [118, 39, 43]-code), using construction XX applied to C1 = C([7,41]), C2 = C([0,30]), C3 = C1 + C2 = C([7,30]), and C∩ = C1 ∩ C2 = C([0,41]) based on
- linear OA(954, 80, F9, 35) (dual of [80, 26, 36]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {7,8,…,41}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(946, 80, F9, 31) (dual of [80, 34, 32]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,30], and designed minimum distance d ≥ |I|+1 = 32 [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(939, 80, F9, 24) (dual of [80, 41, 25]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {7,8,…,30}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(913, 26, F9, 10) (dual of [26, 13, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(913, 28, F9, 10) (dual of [28, 15, 11]-code), using
- extended algebraic-geometric code AGe(F,17P) [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,17P) [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(913, 28, F9, 10) (dual of [28, 15, 11]-code), using
- linear OA(97, 12, F9, 6) (dual of [12, 5, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 17, F9, 6) (dual of [17, 10, 7]-code), using
- 3 times truncation [i] based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- extended quadratic residue code Qe(20,9) [i]
- 3 times truncation [i] based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 17, F9, 6) (dual of [17, 10, 7]-code), 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.