Information on Result #978835
Linear OOA(829, 1366, F8, 3, 8) (dual of [(1366, 3), 4069, 9]-NRT-code), using OOA 3-folding based on linear OA(829, 4098, F8, 8) (dual of [4098, 4069, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(829, 4100, F8, 8) (dual of [4100, 4071, 9]-code), using
- 1 times truncation [i] based on linear OA(830, 4101, F8, 9) (dual of [4101, 4071, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(6) [i] based on
- linear OA(829, 4096, F8, 9) (dual of [4096, 4067, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(825, 4096, F8, 7) (dual of [4096, 4071, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(81, 5, F8, 1) (dual of [5, 4, 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(830, 4101, F8, 9) (dual of [4101, 4071, 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(8151, 5593768, F8, 3, 16) (dual of [(5593768, 3), 16781153, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8159, 5593768, F8, 3, 17) (dual of [(5593768, 3), 16781145, 18]-NRT-code) | [i] | ||