Information on Result #688462
Linear OA(8137, 570, F8, 44) (dual of [570, 433, 45]-code), using construction X applied to Ce(43) ⊂ Ce(29) 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(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(822, 58, F8, 13) (dual of [58, 36, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(822, 63, F8, 13) (dual of [63, 41, 14]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [i]
- discarding factors / shortening the dual code based on linear OA(822, 63, F8, 13) (dual of [63, 41, 14]-code), using
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(8138, 571, F8, 44) (dual of [571, 433, 45]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(8137, 285, F8, 2, 44) (dual of [(285, 2), 433, 45]-NRT-code) | [i] | OOA Folding | |