Information on Result #688811
Linear OA(831, 73, F8, 17) (dual of [73, 42, 18]-code), using construction X applied to Ce(17) ⊂ Ce(12) based on
- linear OA(828, 64, F8, 18) (dual of [64, 36, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(83, 9, F8, 3) (dual of [9, 6, 4]-code or 9-arc in PG(2,8) or 9-cap in PG(2,8)), using
- extended Reed–Solomon code RSe(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(831, 36, F8, 2, 17) (dual of [(36, 2), 41, 18]-NRT-code) | [i] | OOA Folding | |