Information on Result #814324
Linear OOA(3185, 88594, F3, 2, 25) (dual of [(88594, 2), 177003, 26]-NRT-code), using OOA 2-folding based on linear OA(3185, 177188, F3, 25) (dual of [177188, 177003, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(19) [i] based on
- linear OA(3177, 177147, F3, 25) (dual of [177147, 176970, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(3144, 177147, F3, 20) (dual of [177147, 177003, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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]
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(3185, 88594, F3, 2, 24) (dual of [(88594, 2), 177003, 25]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3187, 88595, F3, 2, 25) (dual of [(88595, 2), 177003, 26]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(3186, 88594, F3, 2, 25) (dual of [(88594, 2), 177002, 26]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(3184, 88593, F3, 2, 24) (dual of [(88593, 2), 177002, 25]-NRT-code) | [i] | Truncation for OOAs | |