Information on Result #677714
Linear OA(350, 84, F3, 22) (dual of [84, 34, 23]-code), using construction X applied to Ce(21) ⊂ Ce(19) based on
- linear OA(349, 81, F3, 22) (dual of [81, 32, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(347, 81, F3, 20) (dual of [81, 34, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(31, 3, F3, 1) (dual of [3, 2, 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(351, 85, F3, 22) (dual of [85, 34, 23]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(352, 86, F3, 22) (dual of [86, 34, 23]-code) | [i] | ||
| 3 | Linear OOA(350, 42, F3, 2, 22) (dual of [(42, 2), 34, 23]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(350, 28, F3, 3, 22) (dual of [(28, 3), 34, 23]-NRT-code) | [i] | ||