Information on Result #954012
Linear OOA(3244, 177172, F3, 3, 29) (dual of [(177172, 3), 531272, 30]-NRT-code), using OOA 3-folding based on linear OA(3244, 531516, F3, 29) (dual of [531516, 531272, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(21) [i] based on
- linear OA(3229, 531441, F3, 29) (dual of [531441, 531212, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(3169, 531441, F3, 22) (dual of [531441, 531272, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(315, 75, F3, 6) (dual of [75, 60, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(315, 85, F3, 6) (dual of [85, 70, 7]-code), 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(3247, 177173, F3, 3, 29) (dual of [(177173, 3), 531272, 30]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3245, 177172, F3, 3, 29) (dual of [(177172, 3), 531271, 30]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3246, 177172, F3, 3, 29) (dual of [(177172, 3), 531270, 30]-NRT-code) | [i] | ||
| 4 | Linear OOA(3244, 177172, F3, 4, 29) (dual of [(177172, 4), 708444, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Linear OOA(3244, 177172, F3, 5, 29) (dual of [(177172, 5), 885616, 30]-NRT-code) | [i] | ||
| 6 | Digital (215, 244, 177172)-net over F3 | [i] | ||