Information on Result #1061378
Linear OOA(3228, 398592, F3, 4, 26) (dual of [(398592, 4), 1594140, 27]-NRT-code), using OOA 4-folding based on linear OA(3228, 1594368, F3, 26) (dual of [1594368, 1594140, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(21) [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(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(36, 45, F3, 3) (dual of [45, 39, 4]-code or 45-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), 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(3232, 398593, F3, 4, 26) (dual of [(398593, 4), 1594140, 27]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3229, 398592, F3, 4, 26) (dual of [(398592, 4), 1594139, 27]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3230, 398592, F3, 4, 26) (dual of [(398592, 4), 1594138, 27]-NRT-code) | [i] | ||
| 4 | Linear OOA(3231, 398592, F3, 4, 26) (dual of [(398592, 4), 1594137, 27]-NRT-code) | [i] | ||
| 5 | Linear OOA(3228, 398592, F3, 5, 26) (dual of [(398592, 5), 1992732, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 6 | Digital (202, 228, 398592)-net over F3 | [i] | ||