Information on Result #718084
Linear OA(979, 110, F9, 45) (dual of [110, 31, 46]-code), using construction XX applied to C1 = C([68,31]), C2 = C([0,32]), C3 = C1 + C2 = C([0,31]), and C∩ = C1 ∩ C2 = C([68,32]) based on
- linear OA(963, 80, F9, 44) (dual of [80, 17, 45]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−12,−11,…,31}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(950, 80, F9, 33) (dual of [80, 30, 34]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,32], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(965, 80, F9, 45) (dual of [80, 15, 46]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−12,−11,…,32}, and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(948, 80, F9, 32) (dual of [80, 32, 33]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,31], and designed minimum distance d ≥ |I|+1 = 33 [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(90, 2, F9, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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.