Information on Result #979461
Linear OOA(897, 87383, F8, 3, 19) (dual of [(87383, 3), 262052, 20]-NRT-code), using OOA 3-folding based on linear OA(897, 262149, F8, 19) (dual of [262149, 262052, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(897, 262150, F8, 19) (dual of [262150, 262053, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(897, 262144, F8, 19) (dual of [262144, 262047, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(80, 6, F8, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
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(8107, 87397, F8, 3, 19) (dual of [(87397, 3), 262084, 20]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8108, 87400, F8, 3, 19) (dual of [(87400, 3), 262092, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(8109, 87407, F8, 3, 19) (dual of [(87407, 3), 262112, 20]-NRT-code) | [i] | ||