Information on Result #676777
Linear OA(3235, 771, F3, 58) (dual of [771, 536, 59]-code), using construction X applied to Ce(57) ⊂ Ce(48) based on
- linear OA(3217, 729, F3, 58) (dual of [729, 512, 59]-code), using an extension Ce(57) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,57], and designed minimum distance d ≥ |I|+1 = 58 [i]
- linear OA(3190, 729, F3, 49) (dual of [729, 539, 50]-code), using an extension Ce(48) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(318, 42, F3, 8) (dual of [42, 24, 9]-code), using
- 6 times truncation [i] based on linear OA(324, 48, F3, 14) (dual of [48, 24, 15]-code), using
- extended quadratic residue code Qe(48,3) [i]
- 6 times truncation [i] based on linear OA(324, 48, F3, 14) (dual of [48, 24, 15]-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(3235, 257, F3, 3, 58) (dual of [(257, 3), 536, 59]-NRT-code) | [i] | OOA Folding | |