Information on Result #688806
Linear OA(837, 72, F8, 22) (dual of [72, 35, 23]-code), using construction X applied to Ce(21) ⊂ Ce(18) based on
- linear OA(835, 64, F8, 22) (dual of [64, 29, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(829, 64, F8, 19) (dual of [64, 35, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(837, 36, F8, 2, 22) (dual of [(36, 2), 35, 23]-NRT-code) | [i] | OOA Folding | |