Information on Result #687036
Linear OA(8172, 4107, F8, 49) (dual of [4107, 3935, 50]-code), using construction X applied to C([0,24]) ⊂ C([0,22]) based on
- linear OA(8169, 4097, F8, 49) (dual of [4097, 3928, 50]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 88−1, defining interval I = [0,24], and minimum distance d ≥ |{−24,−23,…,24}|+1 = 50 (BCH-bound) [i]
- linear OA(8161, 4097, F8, 45) (dual of [4097, 3936, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 88−1, defining interval I = [0,22], and minimum distance d ≥ |{−22,−21,…,22}|+1 = 46 (BCH-bound) [i]
- linear OA(83, 10, F8, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,8) or 10-cap in PG(2,8)), 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(8172, 2053, F8, 2, 49) (dual of [(2053, 2), 3934, 50]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8172, 1369, F8, 3, 49) (dual of [(1369, 3), 3935, 50]-NRT-code) | [i] | ||