Information on Result #2199489
Linear OA(3247, 268, F3, 140) (dual of [268, 21, 141]-code), using strength reduction based on linear OA(3247, 268, F3, 141) (dual of [268, 21, 142]-code), using
- construction X applied to Ce(151) ⊂ Ce(130) [i] based on
- linear OA(3232, 243, F3, 152) (dual of [243, 11, 153]-code), using an extension Ce(151) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,151], and designed minimum distance d ≥ |I|+1 = 152 [i]
- 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(315, 25, F3, 9) (dual of [25, 10, 10]-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(3246, 267, F3, 139) (dual of [267, 21, 140]-code) | [i] | Truncation | |
| 2 | Linear OA(3245, 266, F3, 138) (dual of [266, 21, 139]-code) | [i] | ||
| 3 | Linear OA(3243, 264, F3, 136) (dual of [264, 21, 137]-code) | [i] | ||
| 4 | Linear OA(3242, 263, F3, 135) (dual of [263, 21, 136]-code) | [i] | ||