Information on Result #718215
Linear OA(990, 120, F9, 52) (dual of [120, 30, 53]-code), using construction XX applied to C1 = C([9,51]), C2 = C([0,40]), C3 = C1 + C2 = C([9,40]), and C∩ = C1 ∩ C2 = C([0,51]) based on
- linear OA(961, 80, F9, 43) (dual of [80, 19, 44]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {9,10,…,51}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(957, 80, F9, 41) (dual of [80, 23, 42]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,40], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(968, 80, F9, 52) (dual of [80, 12, 53]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,51], and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(948, 80, F9, 32) (dual of [80, 32, 33]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {9,10,…,40}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(913, 24, F9, 10) (dual of [24, 11, 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(99, 16, F9, 8) (dual of [16, 7, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(99, 19, F9, 8) (dual of [19, 10, 9]-code), using
- 1 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]
- 1 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(99, 19, F9, 8) (dual of [19, 10, 9]-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.