Information on Result #733375
Linear OA(27101, 531514, F27, 22) (dual of [531514, 531413, 23]-code), using (u, u+v)-construction based on
- linear OA(2715, 64, F27, 11) (dual of [64, 49, 12]-code), using
- extended algebraic-geometric code AGe(F,52P) [i] based on function field F/F27 with g(F) = 4 and N(F) ≥ 64, using
- linear OA(2786, 531450, F27, 22) (dual of [531450, 531364, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(19) [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(2777, 531441, F27, 20) (dual of [531441, 531364, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(271, 9, F27, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(271, s, F27, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(21) ⊂ Ce(19) [i] based on
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(27101, 265757, F27, 2, 22) (dual of [(265757, 2), 531413, 23]-NRT-code) | [i] | OOA Folding | |