Information on Result #734404
Linear OA(3242, 32819, F32, 12) (dual of [32819, 32777, 13]-code), using (u, u+v)-construction based on
- linear OA(327, 44, F32, 6) (dual of [44, 37, 7]-code), using
- extended algebraic-geometric code AGe(F,37P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- linear OA(3235, 32775, F32, 12) (dual of [32775, 32740, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(9) [i] based on
- linear OA(3234, 32768, F32, 12) (dual of [32768, 32734, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(3228, 32768, F32, 10) (dual of [32768, 32740, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(321, 7, F32, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(11) ⊂ Ce(9) [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(3242, 16409, F32, 2, 12) (dual of [(16409, 2), 32776, 13]-NRT-code) | [i] | OOA Folding | |