Information on Result #688456
Linear OA(8162, 568, F8, 54) (dual of [568, 406, 55]-code), using construction X applied to Ce(53) ⊂ Ce(40) based on
- linear OA(8142, 512, F8, 54) (dual of [512, 370, 55]-code), using an extension Ce(53) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,53], and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(8106, 512, F8, 41) (dual of [512, 406, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(820, 56, F8, 12) (dual of [56, 36, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(820, 63, F8, 12) (dual of [63, 43, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(820, 63, F8, 12) (dual of [63, 43, 13]-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(8163, 569, F8, 54) (dual of [569, 406, 55]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(8162, 284, F8, 2, 54) (dual of [(284, 2), 406, 55]-NRT-code) | [i] | OOA Folding | |