Information on Result #677139
Linear OA(3243, 249, F3, 163) (dual of [249, 6, 164]-code), using construction X applied to Ce(241) ⊂ Ce(160) 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 OA(3242, 248, F3, 162) (dual of [248, 6, 163]-code) | [i] | Truncation | |
| 2 | Linear OA(3241, 247, F3, 161) (dual of [247, 6, 162]-code) | [i] | ||
| 3 | Linear OA(3240, 246, F3, 160) (dual of [246, 6, 161]-code) | [i] | ||
| 4 | Linear OA(3239, 245, F3, 159) (dual of [245, 6, 160]-code) | [i] | ||
| 5 | Linear OA(3238, 244, F3, 158) (dual of [244, 6, 159]-code) | [i] | ||
| 6 | Linear OA(3236, 242, F3, 156) (dual of [242, 6, 157]-code) | [i] | ||
| 7 | Linear OA(3235, 241, F3, 155) (dual of [241, 6, 156]-code) | [i] | ||
| 8 | Linear OA(3234, 240, F3, 154) (dual of [240, 6, 155]-code) | [i] | ||
| 9 | Linear OOA(3243, 124, F3, 2, 163) (dual of [(124, 2), 5, 164]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(3243, 83, F3, 3, 163) (dual of [(83, 3), 6, 164]-NRT-code) | [i] | ||