Information on Result #737891
Linear OA(867, 83, F8, 46) (dual of [83, 16, 47]-code), using construction XX applied to Ce(45) ⊂ Ce(36) ⊂ Ce(35) based on
- linear OA(856, 64, F8, 46) (dual of [64, 8, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- 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(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(810, 18, F8, 8) (dual of [18, 8, 9]-code), using
- discarding factors / shortening the dual code based on 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(867, 83, F8, 45) (dual of [83, 16, 46]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(869, 85, F8, 46) (dual of [85, 16, 47]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(866, 82, F8, 45) (dual of [82, 16, 46]-code) | [i] | Truncation | |
| 4 | Linear OA(869, 86, F8, 46) (dual of [86, 17, 47]-code) | [i] | Construction X with Varšamov Bound | |
| 5 | Linear OOA(867, 41, F8, 2, 46) (dual of [(41, 2), 15, 47]-NRT-code) | [i] | OOA Folding | |