Information on Result #694945
Linear OA(2796, 531489, F27, 22) (dual of [531489, 531393, 23]-code), using construction X applied to Ce(21) ⊂ Ce(11) 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(2711, 48, F27, 9) (dual of [48, 37, 10]-code), using
- extended algebraic-geometric code AGe(F,38P) [i] based on function field F/F27 with g(F) = 2 and N(F) ≥ 48, 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(2796, 265744, F27, 2, 22) (dual of [(265744, 2), 531392, 23]-NRT-code) | [i] | OOA Folding | |