Information on Result #691366
Linear OA(9110, 123, F9, 75) (dual of [123, 13, 76]-code), using construction XX applied to Ce(79) ⊂ Ce(60) ⊂ Ce(51) based on
- linear OA(980, 81, F9, 80) (dual of [81, 1, 81]-code or 81-arc in PG(79,9)), using an extension Ce(79) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,79], and designed minimum distance d ≥ |I|+1 = 80 [i]
- linear OA(973, 81, F9, 61) (dual of [81, 8, 62]-code), using an extension Ce(60) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,60], and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(968, 81, F9, 52) (dual of [81, 13, 53]-code), using an extension Ce(51) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(916, 28, F9, 13) (dual of [28, 12, 14]-code), using
- extended algebraic-geometric code AGe(F,14P) [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,14P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- linear OA(99, 14, F9, 8) (dual of [14, 5, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(99, 19, F9, 8) (dual of [19, 10, 9]-code), using
- 1 times truncation [i] based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- extended quadratic residue code Qe(20,9) [i]
- 1 times truncation [i] based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(99, 19, F9, 8) (dual of [19, 10, 9]-code), 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.