Information on Result #815262
Linear OOA(3172, 3287, F3, 2, 32) (dual of [(3287, 2), 6402, 33]-NRT-code), using OOA 2-folding based on linear OA(3172, 6574, F3, 32) (dual of [6574, 6402, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(28) [i] based on
- linear OA(3169, 6561, F3, 32) (dual of [6561, 6392, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(3153, 6561, F3, 29) (dual of [6561, 6408, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
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(3172, 3287, F3, 3, 32) (dual of [(3287, 3), 9689, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3172, 3287, F3, 4, 32) (dual of [(3287, 4), 12976, 33]-NRT-code) | [i] | ||
| 3 | Linear OOA(3172, 3287, F3, 5, 32) (dual of [(3287, 5), 16263, 33]-NRT-code) | [i] | ||
| 4 | Digital (140, 172, 3287)-net over F3 | [i] | ||