Information on Result #686573
Linear OA(8146, 262199, F8, 26) (dual of [262199, 262053, 27]-code), using construction X applied to Ce(25) ⊂ Ce(17) based on
- linear OA(8133, 262144, F8, 26) (dual of [262144, 262011, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(891, 262144, F8, 18) (dual of [262144, 262053, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(813, 55, F8, 7) (dual of [55, 42, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(813, 63, F8, 7) (dual of [63, 50, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(813, 63, F8, 7) (dual of [63, 50, 8]-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(8146, 131099, F8, 2, 26) (dual of [(131099, 2), 262052, 27]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8146, 87399, F8, 3, 26) (dual of [(87399, 3), 262051, 27]-NRT-code) | [i] | ||
| 3 | Linear OOA(8146, 20169, F8, 26, 26) (dual of [(20169, 26), 524248, 27]-NRT-code) | [i] | OA Folding and Stacking | |