Information on Result #1014064
Linear OOA(798, 5619, F7, 3, 20) (dual of [(5619, 3), 16759, 21]-NRT-code), using (u, u+v)-construction based on
- linear OOA(711, 13, F7, 3, 10) (dual of [(13, 3), 28, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 11, 13)-net over F7, using
- 2 times m-reduction [i] based on digital (1, 13, 13)-net over F7, using
- extracting embedded OOA [i] based on digital (1, 11, 13)-net over F7, using
- linear OOA(787, 5606, F7, 3, 20) (dual of [(5606, 3), 16731, 21]-NRT-code), using
- OOA 3-folding [i] based on linear OA(787, 16818, F7, 20) (dual of [16818, 16731, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(17) [i] based on
- linear OA(786, 16807, F7, 20) (dual of [16807, 16721, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(776, 16807, F7, 18) (dual of [16807, 16731, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(71, 11, F7, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, s, F7, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(19) ⊂ Ce(17) [i] based on
- OOA 3-folding [i] based on linear OA(787, 16818, F7, 20) (dual of [16818, 16731, 21]-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(799, 5619, F7, 3, 20) (dual of [(5619, 3), 16758, 21]-NRT-code) | [i] | OOA Duplication | |