Information on Result #718490
Linear OA(9108, 118, F9, 79) (dual of [118, 10, 80]-code), using construction XX applied to C1 = C([61,50]), C2 = C([0,59]), C3 = C1 + C2 = C([0,50]), and C∩ = C1 ∩ C2 = C([61,59]) based on
- linear OA(977, 80, F9, 70) (dual of [80, 3, 71]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−19,−18,…,50}, and designed minimum distance d ≥ |I|+1 = 71 [i]
- linear OA(972, 80, F9, 60) (dual of [80, 8, 61]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,59], and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(979, 80, F9, 79) (dual of [80, 1, 80]-code or 80-arc in PG(78,9)), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−19,−18,…,59}, and designed minimum distance d ≥ |I|+1 = 80 [i]
- linear OA(966, 80, F9, 51) (dual of [80, 14, 52]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,50], and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(921, 28, F9, 18) (dual of [28, 7, 19]-code), using
- extended algebraic-geometric code AGe(F,9P) [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,9P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- linear OA(98, 10, F9, 8) (dual of [10, 2, 9]-code or 10-arc in PG(7,9)), using
- extended Reed–Solomon code RSe(2,9) [i]
- Simplex code S(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.