Information on Result #733798
Linear OA(3291, 1126, F32, 35) (dual of [1126, 1035, 36]-code), using (u, u+v)-construction based on
- linear OA(3225, 100, F32, 17) (dual of [100, 75, 18]-code), using
- construction X applied to AG(F,79P) ⊂ AG(F,81P) [i] based on
- linear OA(3224, 97, F32, 17) (dual of [97, 73, 18]-code), using algebraic-geometric code AG(F,79P) [i] based on function field F/F32 with g(F) = 7 and N(F) ≥ 98, using
- linear OA(3222, 97, F32, 15) (dual of [97, 75, 16]-code), using algebraic-geometric code AG(F,81P) [i] based on function field F/F32 with g(F) = 7 and N(F) ≥ 98 (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,79P) ⊂ AG(F,81P) [i] based on
- linear OA(3266, 1026, F32, 35) (dual of [1026, 960, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(33) [i] based on
- linear OA(3266, 1024, F32, 35) (dual of [1024, 958, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(3264, 1024, F32, 34) (dual of [1024, 960, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(320, 2, F32, 0) (dual of [2, 2, 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(34) ⊂ Ce(33) [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(3291, 563, F32, 2, 35) (dual of [(563, 2), 1035, 36]-NRT-code) | [i] | OOA Folding | |