Information on Result #687585
Linear OA(8111, 829, F8, 33) (dual of [829, 718, 34]-code), using construction X applied to Ce(32) ⊂ Ce(29) based on
- linear OA(8109, 820, F8, 33) (dual of [820, 711, 34]-code), using an extension Ce(32) of the narrow-sense BCH-code C(I) with length 819 | 84−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(8101, 820, F8, 30) (dual of [820, 719, 31]-code), using an extension Ce(29) of the narrow-sense BCH-code C(I) with length 819 | 84−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(82, 9, F8, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,8)), using
- extended Reed–Solomon code RSe(7,8) [i]
- Hamming code H(2,8) [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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(8111, 414, F8, 2, 33) (dual of [(414, 2), 717, 34]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8111, 276, F8, 3, 33) (dual of [(276, 3), 717, 34]-NRT-code) | [i] | ||