Information on Result #690956
Linear OA(9102, 110, F9, 80) (dual of [110, 8, 81]-code), using construction X applied to C([0,40]) ⊂ C([0,30]) based on
- linear OA(981, 82, F9, 81) (dual of [82, 1, 82]-code or 82-arc in PG(80,9)), using the expurgated narrow-sense BCH-code C(I) with length 82 | 94−1, defining interval I = [0,40], and minimum distance d ≥ |{−18,5,28,…,18}|+1 = 82 (BCH-bound) [i]
- linear OA(973, 82, F9, 61) (dual of [82, 9, 62]-code), using the expurgated narrow-sense BCH-code C(I) with length 82 | 94−1, defining interval I = [0,30], and minimum distance d ≥ |{−30,−29,…,30}|+1 = 62 (BCH-bound) [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
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.