Information on Result #902263
Linear OOA(3289, 524336, F32, 2, 20) (dual of [(524336, 2), 1048583, 21]-NRT-code), using (u, u+v)-construction based on
- linear OOA(3211, 44, F32, 2, 10) (dual of [(44, 2), 77, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,77P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- linear OOA(3278, 524292, F32, 2, 20) (dual of [(524292, 2), 1048506, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3278, 1048584, F32, 20) (dual of [1048584, 1048506, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(3278, 1048585, F32, 20) (dual of [1048585, 1048507, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(17) [i] based on
- linear OA(3277, 1048576, F32, 20) (dual of [1048576, 1048499, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- 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(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(19) ⊂ Ce(17) [i] based on
- discarding factors / shortening the dual code based on linear OA(3278, 1048585, F32, 20) (dual of [1048585, 1048507, 21]-code), using
- OOA 2-folding [i] based on linear OA(3278, 1048584, F32, 20) (dual of [1048584, 1048506, 21]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3289, 104867, F32, 22, 20) (dual of [(104867, 22), 2306985, 21]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |