Information on Result #1652687
Linear OOA(3250, 398732, F3, 5, 28) (dual of [(398732, 5), 1993410, 29]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3250, 398732, F3, 3, 28) (dual of [(398732, 3), 1195946, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3250, 531463, F3, 3, 28) (dual of [(531463, 3), 1594139, 29]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3249, 531463, F3, 3, 28) (dual of [(531463, 3), 1594140, 29]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3246, 531462, F3, 3, 28) (dual of [(531462, 3), 1594140, 29]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3246, 1594386, F3, 28) (dual of [1594386, 1594140, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(21) [i] based on
- linear OA(3235, 1594323, F3, 28) (dual of [1594323, 1594088, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3183, 1594323, F3, 22) (dual of [1594323, 1594140, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(311, 63, F3, 5) (dual of [63, 52, 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(27) ⊂ Ce(21) [i] based on
- OOA 3-folding [i] based on linear OA(3246, 1594386, F3, 28) (dual of [1594386, 1594140, 29]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3246, 531462, F3, 3, 28) (dual of [(531462, 3), 1594140, 29]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3249, 531463, F3, 3, 28) (dual of [(531463, 3), 1594140, 29]-NRT-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(3250, 132910, F3, 35, 28) (dual of [(132910, 35), 4651600, 29]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |