Information on Result #717304
Linear OA(8102, 593, F8, 31) (dual of [593, 491, 32]-code), using construction XX applied to C1 = C([55,84]), C2 = C([54,83]), C3 = C1 + C2 = C([55,83]), and C∩ = C1 ∩ C2 = C([54,84]) based on
- linear OA(898, 585, F8, 30) (dual of [585, 487, 31]-code), using the BCH-code C(I) with length 585 | 84−1, defining interval I = {55,56,…,84}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(898, 585, F8, 30) (dual of [585, 487, 31]-code), using the BCH-code C(I) with length 585 | 84−1, defining interval I = {54,55,…,83}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(8102, 585, F8, 31) (dual of [585, 483, 32]-code), using the BCH-code C(I) with length 585 | 84−1, defining interval I = {54,55,…,84}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(894, 585, F8, 29) (dual of [585, 491, 30]-code), using the BCH-code C(I) with length 585 | 84−1, defining interval I = {55,56,…,83}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(80, 4, F8, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(80, 4, F8, 0) (dual of [4, 4, 1]-code) (see above)
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 OA(8104, 595, F8, 31) (dual of [595, 491, 32]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(8102, 296, F8, 2, 31) (dual of [(296, 2), 490, 32]-NRT-code) | [i] | OOA Folding | |