Information on Result #2288973
Linear OA(2798, 531494, F27, 22) (dual of [531494, 531396, 23]-code), using 1 times code embedding in larger space based on linear OA(2797, 531493, F27, 22) (dual of [531493, 531396, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(11) [i] based on
- linear OA(2785, 531441, F27, 22) (dual of [531441, 531356, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(2745, 531441, F27, 12) (dual of [531441, 531396, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(2712, 52, F27, 9) (dual of [52, 40, 10]-code), using
- extended algebraic-geometric code AGe(F,42P) [i] based on function field F/F27 with g(F) = 3 and N(F) ≥ 52, 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(2798, 265747, F27, 2, 22) (dual of [(265747, 2), 531396, 23]-NRT-code) | [i] | OOA Folding | |