Information on Result #674560
Linear OA(3146, 531467, F3, 18) (dual of [531467, 531321, 19]-code), using construction X4 applied to Ce(18) ⊂ Ce(15) based on
- linear OA(3145, 531441, F3, 19) (dual of [531441, 531296, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(3121, 531441, F3, 16) (dual of [531441, 531320, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(325, 26, F3, 25) (dual of [26, 1, 26]-code or 26-arc in PG(24,3)), using
- dual of repetition code with length 26 [i]
- linear OA(31, 26, F3, 1) (dual of [26, 25, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(3147, 531468, F3, 18) (dual of [531468, 531321, 19]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3148, 531469, F3, 18) (dual of [531469, 531321, 19]-code) | [i] | ||
| 3 | Linear OA(3150, 531472, F3, 18) (dual of [531472, 531322, 19]-code) | [i] | Construction X with Varšamov Bound | |