Information on Result #714245
Linear OA(743, 488, F7, 13) (dual of [488, 445, 14]-code), using construction XX applied to C1 = C([479,10]), C2 = C([0,11]), C3 = C1 + C2 = C([0,10]), and C∩ = C1 ∩ C2 = C([479,11]) based on
- linear OA(739, 480, F7, 12) (dual of [480, 441, 13]-code), using the BCH-code C(I) with length 480 | 74−1, defining interval I = {−1,0,…,10}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(739, 480, F7, 12) (dual of [480, 441, 13]-code), using the expurgated narrow-sense BCH-code C(I) with length 480 | 74−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(743, 480, F7, 13) (dual of [480, 437, 14]-code), using the BCH-code C(I) with length 480 | 74−1, defining interval I = {−1,0,…,11}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(735, 480, F7, 11) (dual of [480, 445, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 480 | 74−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [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, 4, F7, 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 OOA(743, 244, F7, 2, 13) (dual of [(244, 2), 445, 14]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(743, 162, F7, 3, 13) (dual of [(162, 3), 443, 14]-NRT-code) | [i] | ||