Information on Result #718100
Linear OA(984, 118, F9, 46) (dual of [118, 34, 47]-code), using construction XX applied to C1 = C([68,29]), C2 = C([0,33]), C3 = C1 + C2 = C([0,29]), and C∩ = C1 ∩ C2 = C([68,33]) based on
- linear OA(960, 80, F9, 42) (dual of [80, 20, 43]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−12,−11,…,29}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(952, 80, F9, 34) (dual of [80, 28, 35]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,33], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(967, 80, F9, 46) (dual of [80, 13, 47]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−12,−11,…,33}, and designed minimum distance d ≥ |I|+1 = 47 [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(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
- linear OA(93, 10, F9, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,9) or 10-cap in PG(2,9)), using
- extended Reed–Solomon code RSe(7,9) [i]
- oval in PG(2, 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.