Information on Result #677331
Linear OA(3108, 279, F3, 31) (dual of [279, 171, 32]-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(317, 36, F3, 8) (dual of [36, 19, 9]-code), using
- 2 times truncation [i] based on linear OA(319, 38, F3, 10) (dual of [38, 19, 11]-code), using
- extended quadratic residue code Qe(38,3) [i]
- 2 times truncation [i] based on linear OA(319, 38, F3, 10) (dual of [38, 19, 11]-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(3108, 139, F3, 2, 31) (dual of [(139, 2), 170, 32]-NRT-code) | [i] | OOA Folding | |