Information on Result #2231321
Linear OA(3242, 248, F3, 162) (dual of [248, 6, 163]-code), using 1 times truncation based on linear OA(3243, 249, F3, 163) (dual of [249, 6, 164]-code), using
- construction X applied to Ce(241) ⊂ Ce(160) [i] based on
- linear OA(3242, 243, F3, 242) (dual of [243, 1, 243]-code or 243-arc in PG(241,3)), using an extension Ce(241) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,241], and designed minimum distance d ≥ |I|+1 = 242 [i]
- 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(31, 6, F3, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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(3242, 124, F3, 2, 162) (dual of [(124, 2), 6, 163]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3242, 82, F3, 3, 162) (dual of [(82, 3), 4, 163]-NRT-code) | [i] | ||