Information on Result #1650573
Linear OOA(3228, 398592, F3, 5, 26) (dual of [(398592, 5), 1992732, 27]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3228, 398592, F3, 4, 26) (dual of [(398592, 4), 1594140, 27]-NRT-code), using
- OOA 4-folding [i] 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
- construction X applied to Ce(25) ⊂ Ce(21) [i] based on
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(3229, 398592, F3, 5, 26) (dual of [(398592, 5), 1992731, 27]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3230, 398592, F3, 5, 26) (dual of [(398592, 5), 1992730, 27]-NRT-code) | [i] | ||
| 3 | Linear OOA(3231, 398592, F3, 5, 26) (dual of [(398592, 5), 1992729, 27]-NRT-code) | [i] | ||
| 4 | Linear OOA(3228, 132863, F3, 35, 26) (dual of [(132863, 35), 4649977, 27]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |