Information on Result #686564
Linear OA(8120, 262191, F8, 21) (dual of [262191, 262071, 22]-code), using construction X applied to Ce(20) ⊂ Ce(13) based on
- 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(873, 262144, F8, 14) (dual of [262144, 262071, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(811, 47, F8, 6) (dual of [47, 36, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(811, 63, F8, 6) (dual of [63, 52, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(811, 63, F8, 6) (dual of [63, 52, 7]-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(8121, 262192, F8, 21) (dual of [262192, 262071, 22]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(8120, 131095, F8, 2, 21) (dual of [(131095, 2), 262070, 22]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(8120, 87397, F8, 3, 21) (dual of [(87397, 3), 262071, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(8120, 26219, F8, 21, 21) (dual of [(26219, 21), 550479, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |