Information on Result #2677895
Linear OOA(3236, 531463, F3, 3, 26) (dual of [(531463, 3), 1594153, 27]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3233, 531462, F3, 3, 26) (dual of [(531462, 3), 1594153, 27]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3233, 1594386, F3, 26) (dual of [1594386, 1594153, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(19) [i] based on
- linear OA(3222, 1594323, F3, 26) (dual of [1594323, 1594101, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(3170, 1594323, F3, 20) (dual of [1594323, 1594153, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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(25) ⊂ Ce(19) [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(3236, 511627, F3, 4, 26) (dual of [(511627, 4), 2046272, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3236, 511627, F3, 5, 26) (dual of [(511627, 5), 2557899, 27]-NRT-code) | [i] | ||
| 3 | Digital (210, 236, 511627)-net over F3 | [i] | ||