Information on Result #686114
Linear OA(737, 66, F7, 19) (dual of [66, 29, 20]-code), using construction X applied to Ce(18) ⊂ Ce(11) based on
- linear OA(729, 49, F7, 19) (dual of [49, 20, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(720, 49, F7, 12) (dual of [49, 29, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(78, 17, F7, 6) (dual of [17, 9, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(78, 19, F7, 6) (dual of [19, 11, 7]-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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(737, 33, F7, 2, 19) (dual of [(33, 2), 29, 20]-NRT-code) | [i] | OOA Folding | |