Information on Result #718507
Linear OA(9100, 119, F9, 64) (dual of [119, 19, 65]-code), using construction X applied to C([11,80]) ⊂ C([21,70]) based on
- linear OA(984, 91, F9, 70) (dual of [91, 7, 71]-code), using the BCH-code C(I) with length 91 | 93−1, defining interval I = {11,12,…,80}, and designed minimum distance d ≥ |I|+1 = 71 [i]
- linear OA(972, 91, F9, 50) (dual of [91, 19, 51]-code), using the BCH-code C(I) with length 91 | 93−1, defining interval I = {21,22,…,70}, and designed minimum distance d ≥ |I|+1 = 51 [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
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, 119, F9, 63) (dual of [119, 19, 64]-code) | [i] | Strength Reduction | |