Information on Result #717446
Linear OA(8104, 837, F8, 30) (dual of [837, 733, 31]-code), using construction XX applied to C1 = C([90,117]), C2 = C([93,119]), C3 = C1 + C2 = C([93,117]), and C∩ = C1 ∩ C2 = C([90,119]) based on
- linear OA(893, 819, F8, 28) (dual of [819, 726, 29]-code), using the BCH-code C(I) with length 819 | 84−1, defining interval I = {90,91,…,117}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(891, 819, F8, 27) (dual of [819, 728, 28]-code), using the BCH-code C(I) with length 819 | 84−1, defining interval I = {93,94,…,119}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(8101, 819, F8, 30) (dual of [819, 718, 31]-code), using the BCH-code C(I) with length 819 | 84−1, defining interval I = {90,91,…,119}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(883, 819, F8, 25) (dual of [819, 736, 26]-code), using the BCH-code C(I) with length 819 | 84−1, defining interval I = {93,94,…,117}, and designed minimum distance d ≥ |I|+1 = 26 [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]
- linear OA(81, 9, F8, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, 511, F8, 1) (dual of [511, 510, 2]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,0], and designed minimum distance d ≥ |I|+1 = 2 [i]
- discarding factors / shortening the dual code based on linear OA(81, 511, F8, 1) (dual of [511, 510, 2]-code), 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(8104, 279, F8, 3, 30) (dual of [(279, 3), 733, 31]-NRT-code) | [i] | OOA Folding | |