Information on Result #734081
Linear OA(32105, 1048656, F32, 23) (dual of [1048656, 1048551, 24]-code), using (u, u+v)-construction based on
- linear OA(3216, 76, F32, 11) (dual of [76, 60, 12]-code), using
- extended algebraic-geometric code AGe(F,64P) [i] based on function field F/F32 with g(F) = 5 and N(F) ≥ 76, using
- linear OA(3289, 1048580, F32, 23) (dual of [1048580, 1048491, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(3289, 1048576, F32, 23) (dual of [1048576, 1048487, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- 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(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(22) ⊂ Ce(21) [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(32105, 524328, F32, 2, 23) (dual of [(524328, 2), 1048551, 24]-NRT-code) | [i] | OOA Folding | |