Information on Result #953163
Linear OOA(3166, 59067, F3, 3, 22) (dual of [(59067, 3), 177035, 23]-NRT-code), using OOA 3-folding based on linear OA(3166, 177201, F3, 22) (dual of [177201, 177035, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(3166, 177202, F3, 22) (dual of [177202, 177036, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(15) [i] based on
- linear OA(3155, 177147, F3, 22) (dual of [177147, 176992, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(3111, 177147, F3, 16) (dual of [177147, 177036, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(311, 55, F3, 5) (dual of [55, 44, 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(21) ⊂ Ce(15) [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(3166, 59067, F3, 3, 21) (dual of [(59067, 3), 177035, 22]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3167, 59067, F3, 3, 22) (dual of [(59067, 3), 177034, 23]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3166, 59067, F3, 4, 22) (dual of [(59067, 4), 236102, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(3166, 59067, F3, 5, 22) (dual of [(59067, 5), 295169, 23]-NRT-code) | [i] | ||
| 5 | Digital (144, 166, 59067)-net over F3 | [i] | ||