Information on Result #718005
Linear OA(976, 115, F9, 41) (dual of [115, 39, 42]-code), using construction XX applied to C1 = C([6,40]), C2 = C([0,29]), C3 = C1 + C2 = C([6,29]), and C∩ = C1 ∩ C2 = C([0,40]) 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 = {6,7,…,40}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(945, 80, F9, 30) (dual of [80, 35, 31]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,29], and designed minimum distance d ≥ |I|+1 = 31 [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(940, 80, F9, 24) (dual of [80, 40, 25]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {6,7,…,29}, 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(95, 9, F9, 5) (dual of [9, 4, 6]-code or 9-arc in PG(4,9)), using
- Reed–Solomon code RS(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.