Information on Result #688813
Linear OA(826, 72, F8, 14) (dual of [72, 46, 15]-code), using construction X applied to Ce(13) ⊂ Ce(10) 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(818, 64, F8, 11) (dual of [64, 46, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(826, 36, F8, 2, 14) (dual of [(36, 2), 46, 15]-NRT-code) | [i] | OOA Folding | |