Information on Result #684530
Linear OA(744, 823551, F7, 8) (dual of [823551, 823507, 9]-code), using construction X applied to Ce(7) ⊂ Ce(5) based on
- linear OA(743, 823543, F7, 8) (dual of [823543, 823500, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(736, 823543, F7, 6) (dual of [823543, 823507, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(71, 8, F7, 1) (dual of [8, 7, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, s, F7, 1) (dual of [s, s−1, 2]-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(744, 568335, F7, 2, 8) (dual of [(568335, 2), 1136626, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(744, 568335, F7, 3, 8) (dual of [(568335, 3), 1704961, 9]-NRT-code) | [i] | ||
| 3 | Digital (36, 44, 568335)-net over F7 | [i] | ||
| 4 | Linear OOA(744, 274517, F7, 3, 8) (dual of [(274517, 3), 823507, 9]-NRT-code) | [i] | OOA Folding | |