Information on Result #677222
Linear OA(3227, 258, F3, 126) (dual of [258, 31, 127]-code), using construction X applied to Ce(130) ⊂ Ce(121) based on
- linear OA(3222, 243, F3, 131) (dual of [243, 21, 132]-code), using an extension Ce(130) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,130], and designed minimum distance d ≥ |I|+1 = 131 [i]
- linear OA(3212, 243, F3, 122) (dual of [243, 31, 123]-code), using an extension Ce(121) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,121], and designed minimum distance d ≥ |I|+1 = 122 [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 OOA(3227, 129, F3, 2, 126) (dual of [(129, 2), 31, 127]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3227, 86, F3, 3, 126) (dual of [(86, 3), 31, 127]-NRT-code) | [i] | ||