Information on Result #677232
Linear OA(3141, 258, F3, 47) (dual of [258, 117, 48]-code), using construction X applied to Ce(46) ⊂ Ce(42) 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(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(35, 15, F3, 3) (dual of [15, 10, 4]-code or 15-cap in PG(4,3)), 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(3142, 259, F3, 47) (dual of [259, 117, 48]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(3141, 129, F3, 2, 47) (dual of [(129, 2), 117, 48]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3141, 86, F3, 3, 47) (dual of [(86, 3), 117, 48]-NRT-code) | [i] | ||