Information on Result #2279287
Linear OA(7100, 1206, F7, 30) (dual of [1206, 1106, 31]-code), using 1 times code embedding in larger space based on linear OA(799, 1205, F7, 30) (dual of [1205, 1106, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(28) [i] based on
- linear OA(799, 1201, F7, 30) (dual of [1201, 1102, 31]-code), using an extension Ce(29) of the narrow-sense BCH-code C(I) with length 1200 | 74−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(795, 1201, F7, 29) (dual of [1201, 1106, 30]-code), using an extension Ce(28) of the narrow-sense BCH-code C(I) with length 1200 | 74−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [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(7100, 603, F7, 2, 30) (dual of [(603, 2), 1106, 31]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(7100, 402, F7, 3, 30) (dual of [(402, 3), 1106, 31]-NRT-code) | [i] | ||