Information on Result #691293
Linear OA(9100, 116, F9, 68) (dual of [116, 16, 69]-code), using construction X applied to Ce(69) ⊂ Ce(49) based on
- linear OA(977, 81, F9, 70) (dual of [81, 4, 71]-code), using an extension Ce(69) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,69], and designed minimum distance d ≥ |I|+1 = 70 [i]
- linear OA(965, 81, F9, 50) (dual of [81, 16, 51]-code), using an extension Ce(49) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(923, 35, F9, 17) (dual of [35, 12, 18]-code), using
- construction X applied to AG(F,7P) ⊂ AG(F,8P) [i] based on
- linear OA(922, 32, F9, 17) (dual of [32, 10, 18]-code), using algebraic-geometric code AG(F,7P) with degP = 2 [i] based on function field F/F9 with g(F) = 5 and N(F) ≥ 32, using a function field by Sémirat [i]
- linear OA(920, 32, F9, 15) (dual of [32, 12, 16]-code), using algebraic-geometric code AG(F,8P) with degPÂ =Â 2 [i] based on function field F/F9 with g(F) = 5 and N(F) ≥ 32 (see above)
- linear OA(91, 3, F9, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,7P) ⊂ AG(F,8P) [i] based on
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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(9100, 116, F9, 67) (dual of [116, 16, 68]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(9100, 116, F9, 66) (dual of [116, 16, 67]-code) | [i] | ||