Information on Result #677144
Linear OA(3245, 252, F3, 161) (dual of [252, 7, 162]-code), using construction X applied to Ce(160) ⊂ Ce(151) based on
- linear OA(3237, 243, F3, 161) (dual of [243, 6, 162]-code), using an extension Ce(160) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,160], and designed minimum distance d ≥ |I|+1 = 161 [i]
- linear OA(3232, 243, F3, 152) (dual of [243, 11, 153]-code), using an extension Ce(151) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,151], and designed minimum distance d ≥ |I|+1 = 152 [i]
- linear OA(38, 9, F3, 8) (dual of [9, 1, 9]-code or 9-arc in PG(7,3)), using
- dual of repetition code with length 9 [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 OA(3245, 252, F3, 160) (dual of [252, 7, 161]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3246, 253, F3, 161) (dual of [253, 7, 162]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(3244, 251, F3, 160) (dual of [251, 7, 161]-code) | [i] | Truncation | |
| 4 | Linear OA(3243, 250, F3, 159) (dual of [250, 7, 160]-code) | [i] | ||
| 5 | Linear OOA(3245, 126, F3, 2, 161) (dual of [(126, 2), 7, 162]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(3245, 84, F3, 3, 161) (dual of [(84, 3), 7, 162]-NRT-code) | [i] | ||