Information on Result #901998
Linear OOA(3262, 524336, F32, 2, 14) (dual of [(524336, 2), 1048610, 15]-NRT-code), using (u, u+v)-construction based on
- linear OOA(328, 44, F32, 2, 7) (dual of [(44, 2), 80, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,80P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- linear OOA(3254, 524292, F32, 2, 14) (dual of [(524292, 2), 1048530, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3254, 1048584, F32, 14) (dual of [1048584, 1048530, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(3254, 1048585, F32, 14) (dual of [1048585, 1048531, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(11) [i] based on
- 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(3245, 1048576, F32, 12) (dual of [1048576, 1048531, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(13) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(3254, 1048585, F32, 14) (dual of [1048585, 1048531, 15]-code), using
- OOA 2-folding [i] based on linear OA(3254, 1048584, F32, 14) (dual of [1048584, 1048530, 15]-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.