Information on Result #714267
Linear OA(7104, 491, F7, 32) (dual of [491, 387, 33]-code), using construction XX applied to C1 = C([50,80]), C2 = C([52,81]), C3 = C1 + C2 = C([52,80]), and C∩ = C1 ∩ C2 = C([50,81]) based on
- linear OA(799, 480, F7, 31) (dual of [480, 381, 32]-code), using the BCH-code C(I) with length 480 | 74−1, defining interval I = {50,51,…,80}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(797, 480, F7, 30) (dual of [480, 383, 31]-code), using the BCH-code C(I) with length 480 | 74−1, defining interval I = {52,53,…,81}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(7103, 480, F7, 32) (dual of [480, 377, 33]-code), using the BCH-code C(I) with length 480 | 74−1, defining interval I = {50,51,…,81}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(793, 480, F7, 29) (dual of [480, 387, 30]-code), using the BCH-code C(I) with length 480 | 74−1, defining interval I = {52,53,…,80}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(71, 7, F7, 1) (dual of [7, 6, 2]-code), using
- Reed–Solomon code RS(6,7) [i]
- linear OA(70, 4, F7, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(7104, 245, F7, 2, 32) (dual of [(245, 2), 386, 33]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(7104, 163, F7, 3, 32) (dual of [(163, 3), 385, 33]-NRT-code) | [i] | ||