Information on Result #688777
Linear OA(843, 72, F8, 27) (dual of [72, 29, 28]-code), using construction X applied to Ce(26) ⊂ Ce(21) based on
- linear OA(839, 64, F8, 27) (dual of [64, 25, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- 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(84, 8, F8, 4) (dual of [8, 4, 5]-code or 8-arc in PG(3,8)), using
- Reed–Solomon code RS(4,8) [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 OA(842, 71, F8, 26) (dual of [71, 29, 27]-code) | [i] | Truncation | |
| 2 | Linear OA(841, 70, F8, 25) (dual of [70, 29, 26]-code) | [i] | ||
| 3 | Linear OOA(843, 36, F8, 2, 27) (dual of [(36, 2), 29, 28]-NRT-code) | [i] | OOA Folding | |