Information on Result #688477
Linear OA(8139, 575, F8, 44) (dual of [575, 436, 45]-code), using construction X applied to Ce(43) ⊂ Ce(28) based on
- linear OA(8115, 512, F8, 44) (dual of [512, 397, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(876, 512, F8, 29) (dual of [512, 436, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [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(8140, 576, F8, 44) (dual of [576, 436, 45]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(8139, 287, F8, 2, 44) (dual of [(287, 2), 435, 45]-NRT-code) | [i] | OOA Folding | |