Information on Result #686570
Linear OA(8164, 262199, F8, 29) (dual of [262199, 262035, 30]-code), using construction X applied to Ce(28) ⊂ Ce(20) based on
- linear OA(8151, 262144, F8, 29) (dual of [262144, 261993, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(8109, 262144, F8, 21) (dual of [262144, 262035, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(8164, 131099, F8, 2, 29) (dual of [(131099, 2), 262034, 30]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8164, 87399, F8, 3, 29) (dual of [(87399, 3), 262033, 30]-NRT-code) | [i] | ||
| 3 | Linear OOA(8164, 18728, F8, 29, 29) (dual of [(18728, 29), 542948, 30]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |