Information on Result #1647658
Linear OOA(3194, 1594345, F3, 5, 20) (dual of [(1594345, 5), 7971531, 21]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3194, 1594345, F3, 3, 20) (dual of [(1594345, 3), 4782841, 21]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3194, 4783035, F3, 20) (dual of [4783035, 4782841, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(3194, 4783036, F3, 20) (dual of [4783036, 4782842, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(13) [i] based on
- linear OA(3183, 4782969, F3, 20) (dual of [4782969, 4782786, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(3127, 4782969, F3, 14) (dual of [4782969, 4782842, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(311, 67, F3, 5) (dual of [67, 56, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-code), using
- construction X applied to Ce(19) ⊂ Ce(13) [i] based on
- discarding factors / shortening the dual code based on linear OA(3194, 4783036, F3, 20) (dual of [4783036, 4782842, 21]-code), using
Mode: 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(3195, 1594345, F3, 5, 20) (dual of [(1594345, 5), 7971530, 21]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3194, 797172, F3, 25, 20) (dual of [(797172, 25), 19929106, 21]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |