Information on Result #641453
Linear OA(869, 73, F8, 60) (dual of [73, 4, 61]-code), using juxtaposition based on
- linear OA(84, 8, F8, 4) (dual of [8, 4, 5]-code or 8-arc in PG(3,8)), using
- Reed–Solomon code RS(4,8) [i]
- linear OA(861, 65, F8, 55) (dual of [65, 4, 56]-code), using
- projective code from ovoid in PG(3, 8) [i]
- the expurgated narrow-sense BCH-code C(I) with length 65 | 84−1, defining interval I = [0,27], and minimum distance d ≥ |{−27,−26,…,27}|+1 = 56 (BCH-bound) [i]
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(869, 73, F8, 59) (dual of [73, 4, 60]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(869, 73, F8, 58) (dual of [73, 4, 59]-code) | [i] | ||
| 3 | Linear OA(877, 81, F8, 65) (dual of [81, 4, 66]-code) | [i] | Juxtaposition | |
| 4 | Linear OA(878, 82, F8, 66) (dual of [82, 4, 67]-code) | [i] | ||