Information on Result #685753
Linear OA(765, 118, F7, 30) (dual of [118, 53, 31]-code), using construction X applied to Ce(29) ⊂ Ce(28) based on
- linear OA(765, 115, F7, 30) (dual of [115, 50, 31]-code), using an extension Ce(29) of the narrow-sense BCH-code C(I) with length 114 | 73−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(762, 115, F7, 29) (dual of [115, 53, 30]-code), using an extension Ce(28) of the narrow-sense BCH-code C(I) with length 114 | 73−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(70, 3, F7, 0) (dual of [3, 3, 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(765, 59, F7, 2, 30) (dual of [(59, 2), 53, 31]-NRT-code) | [i] | OOA Folding |