Information on Result #688754
Linear OA(824, 66, F8, 14) (dual of [66, 42, 15]-code), using construction X applied to Ce(13) ⊂ Ce(12) based on
- linear OA(824, 64, F8, 14) (dual of [64, 40, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- 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(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 OA(8151, 579, F8, 48) (dual of [579, 428, 49]-code) | [i] | Construction X with Cyclic Codes | |
| 2 | Linear OA(8130, 578, F8, 40) (dual of [578, 448, 41]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 3 | Linear OOA(824, 33, F8, 2, 14) (dual of [(33, 2), 42, 15]-NRT-code) | [i] | OOA Folding | |