Information on Result #714240
Linear OA(739, 486, F7, 12) (dual of [486, 447, 13]-code), using construction XX applied to C1 = C([479,9]), C2 = C([0,10]), C3 = C1 + C2 = C([0,9]), and C∩ = C1 ∩ C2 = C([479,10]) based on
- linear OA(737, 480, F7, 11) (dual of [480, 443, 12]-code), using the BCH-code C(I) with length 480 | 74−1, defining interval I = {−1,0,…,9}, and designed minimum distance d ≥ |I|+1 = 12 [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(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(733, 480, F7, 10) (dual of [480, 447, 11]-code), using the expurgated narrow-sense BCH-code C(I) with length 480 | 74−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [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(739, 243, F7, 2, 12) (dual of [(243, 2), 447, 13]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(739, 162, F7, 3, 12) (dual of [(162, 3), 447, 13]-NRT-code) | [i] | ||