Information on Result #978847
Linear OOA(843, 87383, F8, 3, 8) (dual of [(87383, 3), 262106, 9]-NRT-code), using OOA 3-folding based on linear OA(843, 262149, F8, 8) (dual of [262149, 262106, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(843, 262150, F8, 8) (dual of [262150, 262107, 9]-code), using
- 1 times truncation [i] based on linear OA(844, 262151, F8, 9) (dual of [262151, 262107, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(6) [i] based on
- linear OA(843, 262144, F8, 9) (dual of [262144, 262101, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(837, 262144, F8, 7) (dual of [262144, 262107, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(81, 7, F8, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(8) ⊂ Ce(6) [i] based on
- 1 times truncation [i] based on linear OA(844, 262151, F8, 9) (dual of [262151, 262107, 10]-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(8165, 5679785, F8, 3, 16) (dual of [(5679785, 3), 17039190, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8173, 5679785, F8, 3, 17) (dual of [(5679785, 3), 17039182, 18]-NRT-code) | [i] | ||