Information on Result #661846
Linear OA(357, 78, F3, 26) (dual of [78, 21, 27]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(312, 24, F3, 8) (dual of [24, 12, 9]-code), using
- extended quadratic residue code Qe(24,3) [i]
- linear OA(319, 27, F3, 13) (dual of [27, 8, 14]-code), using
- an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(326, 27, F3, 26) (dual of [27, 1, 27]-code or 27-arc in PG(25,3)), using
- dual of repetition code with length 27 [i]
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(357, 39, F3, 2, 26) (dual of [(39, 2), 21, 27]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(357, 26, F3, 3, 26) (dual of [(26, 3), 21, 27]-NRT-code) | [i] | ||