Information on Result #696554
Linear OA(3261, 1048580, F32, 16) (dual of [1048580, 1048519, 17]-code), using construction X applied to Ce(15) ⊂ Ce(14) based on
- linear OA(3261, 1048576, F32, 16) (dual of [1048576, 1048515, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- 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(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
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 OA(3270, 1048624, F32, 16) (dual of [1048624, 1048554, 17]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3271, 1048626, F32, 16) (dual of [1048626, 1048555, 17]-code) | [i] | ||
| 3 | Linear OA(3272, 1048644, F32, 16) (dual of [1048644, 1048572, 17]-code) | [i] | ||
| 4 | Linear OA(3273, 1048646, F32, 16) (dual of [1048646, 1048573, 17]-code) | [i] | ||
| 5 | Linear OA(3274, 1048676, F32, 16) (dual of [1048676, 1048602, 17]-code) | [i] | ||
| 6 | Linear OA(3275, 1048679, F32, 16) (dual of [1048679, 1048604, 17]-code) | [i] | ||
| 7 | Linear OOA(3261, 524290, F32, 2, 16) (dual of [(524290, 2), 1048519, 17]-NRT-code) | [i] | OOA Folding | |