Information on Result #688755
Linear OA(822, 66, F8, 13) (dual of [66, 44, 14]-code), using construction X applied to Ce(12) ⊂ Ce(11) based on
- linear OA(822, 64, F8, 13) (dual of [64, 42, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(820, 64, F8, 12) (dual of [64, 44, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(80, 2, F8, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 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.
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(822, 33, F8, 2, 13) (dual of [(33, 2), 44, 14]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(822, 22, F8, 3, 13) (dual of [(22, 3), 44, 14]-NRT-code) | [i] | ||