Information on Result #902035
Linear OOA(3264, 524323, F32, 2, 15) (dual of [(524323, 2), 1048582, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(327, 33, F32, 2, 7) (dual of [(33, 2), 59, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;59,32) [i]
- linear OOA(3257, 524290, F32, 2, 15) (dual of [(524290, 2), 1048523, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3257, 1048580, F32, 15) (dual of [1048580, 1048523, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- linear OA(3257, 1048576, F32, 15) (dual of [1048576, 1048519, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(3253, 1048576, F32, 14) (dual of [1048576, 1048523, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(14) ⊂ Ce(13) [i] based on
- OOA 2-folding [i] based on linear OA(3257, 1048580, F32, 15) (dual of [1048580, 1048523, 16]-code), using
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
None.