Information on Result #688476
Linear OA(8142, 575, F8, 45) (dual of [575, 433, 46]-code), using construction X applied to Ce(44) ⊂ Ce(29) based on
- linear OA(8118, 512, F8, 45) (dual of [512, 394, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(879, 512, F8, 30) (dual of [512, 433, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(824, 63, F8, 14) (dual of [63, 39, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8143, 576, F8, 45) (dual of [576, 433, 46]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(8142, 287, F8, 2, 45) (dual of [(287, 2), 432, 46]-NRT-code) | [i] | OOA Folding | |