Information on Result #677247
Linear OA(3102, 254, F3, 33) (dual of [254, 152, 34]-code), using construction X applied to Ce(33) ⊂ Ce(30) based on
- linear OA(3101, 243, F3, 34) (dual of [243, 142, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(391, 243, F3, 31) (dual of [243, 152, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(31, 11, F3, 1) (dual of [11, 10, 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(3105, 257, F3, 33) (dual of [257, 152, 34]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3106, 258, F3, 33) (dual of [258, 152, 34]-code) | [i] | ||
| 3 | Linear OOA(3102, 127, F3, 2, 33) (dual of [(127, 2), 152, 34]-NRT-code) | [i] | OOA Folding | |