Information on Result #688431
Linear OA(8157, 563, F8, 53) (dual of [563, 406, 54]-code), using construction X applied to Ce(52) ⊂ Ce(40) based on
- linear OA(8139, 512, F8, 53) (dual of [512, 373, 54]-code), using an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [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(818, 51, F8, 11) (dual of [51, 33, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(818, 63, F8, 11) (dual of [63, 45, 12]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
- discarding factors / shortening the dual code based on linear OA(818, 63, F8, 11) (dual of [63, 45, 12]-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(8158, 564, F8, 53) (dual of [564, 406, 54]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(8157, 281, F8, 2, 53) (dual of [(281, 2), 405, 54]-NRT-code) | [i] | OOA Folding | |