Information on Result #2213547
Linear OA(8126, 130, F8, 110) (dual of [130, 4, 111]-code), using strength reduction 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 OA(8125, 129, F8, 109) (dual of [129, 4, 110]-code) | [i] | Truncation | |
| 2 | Linear OA(8123, 127, F8, 107) (dual of [127, 4, 108]-code) | [i] | ||
| 3 | Linear OA(8121, 125, F8, 105) (dual of [125, 4, 106]-code) | [i] | ||
| 4 | Linear OA(8119, 123, F8, 103) (dual of [123, 4, 104]-code) | [i] | ||
| 5 | Linear OA(8117, 121, F8, 101) (dual of [121, 4, 102]-code) | [i] | ||
| 6 | Linear OA(8115, 119, F8, 99) (dual of [119, 4, 100]-code) | [i] | ||
| 7 | Linear OA(8113, 117, F8, 97) (dual of [117, 4, 98]-code) | [i] | ||
| 8 | Linear OA(8111, 115, F8, 95) (dual of [115, 4, 96]-code) | [i] | ||
| 9 | Linear OA(8109, 113, F8, 93) (dual of [113, 4, 94]-code) | [i] | ||
| 10 | Linear OA(8107, 111, F8, 91) (dual of [111, 4, 92]-code) | [i] | ||
| 11 | Linear OOA(8126, 65, F8, 2, 110) (dual of [(65, 2), 4, 111]-NRT-code) | [i] | OOA Folding | |