Information on Result #2249143
Linear OA(8123, 127, F8, 108) (dual of [127, 4, 109]-code), using 3 times truncation based on linear OA(8126, 130, F8, 111) (dual of [130, 4, 112]-code), using
- repeating each code word 2 times [i] based on 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 OOA(8123, 63, F8, 2, 108) (dual of [(63, 2), 3, 109]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8123, 42, F8, 3, 108) (dual of [(42, 3), 3, 109]-NRT-code) | [i] | ||