Information on Result #668457
Linear OA(3289, 1130, F32, 33) (dual of [1130, 1041, 34]-code), using (u, u+v)-construction based on
- linear OA(3226, 106, F32, 16) (dual of [106, 80, 17]-code), using
- construction X applied to AG(F,86P) ⊂ AG(F,88P) [i] based on
- linear OA(3225, 103, F32, 16) (dual of [103, 78, 17]-code), using algebraic-geometric code AG(F,86P) [i] based on function field F/F32 with g(F) = 9 and N(F) ≥ 104, using
- linear OA(3223, 103, F32, 14) (dual of [103, 80, 15]-code), using algebraic-geometric code AG(F,88P) [i] based on function field F/F32 with g(F) = 9 and N(F) ≥ 104 (see above)
- linear OA(321, 3, F32, 1) (dual of [3, 2, 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 AG(F,86P) ⊂ AG(F,88P) [i] based on
- linear OA(3263, 1024, F32, 33) (dual of [1024, 961, 34]-code), using
- an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
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(3289, 565, F32, 2, 33) (dual of [(565, 2), 1041, 34]-NRT-code) | [i] | OOA Folding | |