Information on Result #734321
Linear OA(3271, 1048629, F32, 16) (dual of [1048629, 1048558, 17]-code), using (u, u+v)-construction based on
- linear OA(329, 44, F32, 8) (dual of [44, 35, 9]-code), using
- extended algebraic-geometric code AGe(F,35P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- linear OA(3262, 1048585, F32, 16) (dual of [1048585, 1048523, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(13) [i] 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(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(321, 9, F32, 1) (dual of [9, 8, 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 Ce(15) ⊂ Ce(13) [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(3271, 524314, F32, 2, 16) (dual of [(524314, 2), 1048557, 17]-NRT-code) | [i] | OOA Folding | |