Information on Result #734259
Linear OA(3283, 1048657, F32, 18) (dual of [1048657, 1048574, 19]-code), using (u, u+v)-construction based on
- linear OA(3214, 77, F32, 9) (dual of [77, 63, 10]-code), using
- (u, u+v)-construction [i] based on
- linear OA(324, 33, F32, 4) (dual of [33, 29, 5]-code or 33-arc in PG(3,32)), using
- extended Reed–Solomon code RSe(29,32) [i]
- linear OA(3210, 44, F32, 9) (dual of [44, 34, 10]-code), using
- extended algebraic-geometric code AGe(F,34P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- linear OA(324, 33, F32, 4) (dual of [33, 29, 5]-code or 33-arc in PG(3,32)), using
- (u, u+v)-construction [i] based on
- linear OA(3269, 1048580, F32, 18) (dual of [1048580, 1048511, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- linear OA(3269, 1048576, F32, 18) (dual of [1048576, 1048507, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(3265, 1048576, F32, 17) (dual of [1048576, 1048511, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(17) ⊂ Ce(16) [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(3283, 524328, F32, 2, 18) (dual of [(524328, 2), 1048573, 19]-NRT-code) | [i] | OOA Folding | |