Information on Result #737748
Linear OA(742, 360, F7, 15) (dual of [360, 318, 16]-code), using construction X applied to Ce(14) ⊂ Ce(9) based on
- linear OA(737, 343, F7, 15) (dual of [343, 306, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(725, 343, F7, 10) (dual of [343, 318, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(75, 17, F7, 4) (dual of [17, 12, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(75, 18, F7, 4) (dual of [18, 13, 5]-code), 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(742, 180, F7, 2, 15) (dual of [(180, 2), 318, 16]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(742, 120, F7, 3, 15) (dual of [(120, 3), 318, 16]-NRT-code) | [i] | ||