Information on Result #737894
Linear OA(860, 85, F8, 37) (dual of [85, 25, 38]-code), using construction XX applied to Ce(36) ⊂ Ce(27) ⊂ Ce(26) based on
- linear OA(849, 64, F8, 37) (dual of [64, 15, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(840, 64, F8, 28) (dual of [64, 24, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- 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(810, 20, F8, 8) (dual of [20, 10, 9]-code), using
- linear OA(80, 1, F8, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [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(860, 85, F8, 36) (dual of [85, 25, 37]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(862, 87, F8, 37) (dual of [87, 25, 38]-code) | [i] | Code Embedding in Larger Space | |