Information on Result #737125
Linear OA(3105, 277, F3, 30) (dual of [277, 172, 31]-code), using construction X applied to Ce(30) ⊂ Ce(21) based on
- linear OA(391, 243, F3, 31) (dual of [243, 152, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(371, 243, F3, 22) (dual of [243, 172, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(314, 34, F3, 7) (dual of [34, 20, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(314, 35, F3, 7) (dual of [35, 21, 8]-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(3105, 138, F3, 2, 30) (dual of [(138, 2), 171, 31]-NRT-code) | [i] | OOA Folding | |