Information on Result #688419
Linear OA(8113, 558, F8, 37) (dual of [558, 445, 38]-code), using construction X applied to Ce(36) ⊂ Ce(25) based on
- linear OA(897, 512, F8, 37) (dual of [512, 415, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(867, 512, F8, 26) (dual of [512, 445, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(816, 46, F8, 10) (dual of [46, 30, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(816, 63, F8, 10) (dual of [63, 47, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(816, 63, F8, 10) (dual of [63, 47, 11]-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 OOA(8113, 279, F8, 2, 37) (dual of [(279, 2), 445, 38]-NRT-code) | [i] | OOA Folding | |