Information on Result #734116
Linear OA(3299, 1048644, F32, 22) (dual of [1048644, 1048545, 23]-code), using (u, u+v)-construction based on
- linear OA(3214, 64, F32, 11) (dual of [64, 50, 12]-code), using
- extended algebraic-geometric code AGe(F,52P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64, using
- linear OA(3285, 1048580, F32, 22) (dual of [1048580, 1048495, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- linear OA(3285, 1048576, F32, 22) (dual of [1048576, 1048491, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(3281, 1048576, F32, 21) (dual of [1048576, 1048495, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(320, 4, F32, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(21) ⊂ Ce(20) [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(3299, 524322, F32, 2, 22) (dual of [(524322, 2), 1048545, 23]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3299, 95331, F32, 22, 22) (dual of [(95331, 22), 2097183, 23]-NRT-code) | [i] | OA Folding and Stacking | |