Information on Result #688814
Linear OA(824, 72, F8, 13) (dual of [72, 48, 14]-code), using construction X applied to Ce(12) ⊂ Ce(9) 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(816, 64, F8, 10) (dual of [64, 48, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(82, 8, F8, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)), using
- Reed–Solomon code RS(6,8) [i]
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(824, 36, F8, 2, 13) (dual of [(36, 2), 48, 14]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(824, 24, F8, 3, 13) (dual of [(24, 3), 48, 14]-NRT-code) | [i] | ||