Information on Result #688773
Linear OA(853, 73, F8, 36) (dual of [73, 20, 37]-code), using construction X applied to Ce(35) ⊂ Ce(29) based on
- linear OA(848, 64, F8, 36) (dual of [64, 16, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(844, 64, F8, 30) (dual of [64, 20, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(85, 9, F8, 5) (dual of [9, 4, 6]-code or 9-arc in PG(4,8)), using
- extended Reed–Solomon code RSe(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(854, 74, F8, 36) (dual of [74, 20, 37]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(852, 72, F8, 35) (dual of [72, 20, 36]-code) | [i] | Truncation | |
| 3 | Linear OOA(853, 36, F8, 2, 36) (dual of [(36, 2), 19, 37]-NRT-code) | [i] | OOA Folding | |