Information on Result #677284
Linear OA(3144, 266, F3, 47) (dual of [266, 122, 48]-code), using construction X applied to Ce(46) ⊂ Ce(40) based on
- linear OA(3136, 243, F3, 47) (dual of [243, 107, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(3121, 243, F3, 41) (dual of [243, 122, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [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 OOA(3144, 133, F3, 2, 47) (dual of [(133, 2), 122, 48]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3144, 88, F3, 3, 47) (dual of [(88, 3), 120, 48]-NRT-code) | [i] | ||