Information on Result #714272
Linear OA(7103, 486, F7, 32) (dual of [486, 383, 33]-code), using construction XX applied to C1 = C([479,29]), C2 = C([0,30]), C3 = C1 + C2 = C([0,29]), and C∩ = C1 ∩ C2 = C([479,30]) based on
- linear OA(7101, 480, F7, 31) (dual of [480, 379, 32]-code), using the BCH-code C(I) with length 480 | 74−1, defining interval I = {−1,0,…,29}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(799, 480, F7, 31) (dual of [480, 381, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 480 | 74−1, defining interval I = [0,30], and designed minimum distance d ≥ |I|+1 = 32 [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 = {−1,0,…,30}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(797, 480, F7, 30) (dual of [480, 383, 31]-code), using the expurgated narrow-sense BCH-code C(I) with length 480 | 74−1, defining interval I = [0,29], and designed minimum distance d ≥ |I|+1 = 31 [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
- linear OA(70, 2, F7, 0) (dual of [2, 2, 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 (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 OOA(7103, 243, F7, 2, 32) (dual of [(243, 2), 383, 33]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(7103, 162, F7, 3, 32) (dual of [(162, 3), 383, 33]-NRT-code) | [i] | ||