Information on Result #677283
Linear OA(3149, 266, F3, 49) (dual of [266, 117, 50]-code), using construction X applied to Ce(48) ⊂ Ce(42) based on
- linear OA(3141, 243, F3, 49) (dual of [243, 102, 50]-code), using an extension Ce(48) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(3126, 243, F3, 43) (dual of [243, 117, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(38, 23, F3, 5) (dual of [23, 15, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(38, 26, F3, 5) (dual of [26, 18, 6]-code), using
- dual code (with bound on d by construction Y1) [i] based on
- discarding factors / shortening the dual code based on linear OA(38, 26, F3, 5) (dual of [26, 18, 6]-code), 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(3148, 265, F3, 48) (dual of [265, 117, 49]-code) | [i] | Truncation | |
| 2 | Linear OOA(3149, 133, F3, 2, 49) (dual of [(133, 2), 117, 50]-NRT-code) | [i] | OOA Folding | |