Information on Result #2433289
Linear OOA(3163, 88594, F3, 2, 21) (dual of [(88594, 2), 177025, 22]-NRT-code), using strength reduction based on linear OOA(3163, 88594, F3, 2, 22) (dual of [(88594, 2), 177025, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3163, 177188, F3, 22) (dual of [177188, 177025, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(16) [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(3122, 177147, F3, 17) (dual of [177147, 177025, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(38, 41, F3, 4) (dual of [41, 33, 5]-code), using
- the narrow-sense BCH-code C(I) with length 41 | 38−1, defining interval I = [1,1], and minimum distance d ≥ |{−3,−1,1,3}|+1 = 5 (BCH-bound) [i]
- construction X applied to Ce(21) ⊂ Ce(16) [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(3163, 69916, F3, 3, 21) (dual of [(69916, 3), 209585, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3163, 69916, F3, 4, 21) (dual of [(69916, 4), 279501, 22]-NRT-code) | [i] | ||
| 3 | Linear OOA(3163, 69916, F3, 5, 21) (dual of [(69916, 5), 349417, 22]-NRT-code) | [i] | ||
| 4 | Digital (142, 163, 69916)-net over F3 | [i] | ||