Information on Result #1196450
Digital (43, 59, 1970)-net over F25, using net defined by OOA based on linear OOA(2559, 1970, F25, 18, 16) (dual of [(1970, 18), 35401, 17]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(2559, 7881, F25, 2, 16) (dual of [(7881, 2), 15703, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2559, 7882, F25, 2, 16) (dual of [(7882, 2), 15705, 17]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2512, 66, F25, 2, 8) (dual of [(66, 2), 120, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,123P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OOA(2547, 7816, F25, 2, 16) (dual of [(7816, 2), 15585, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2547, 15632, F25, 16) (dual of [15632, 15585, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(13) [i] based on
- linear OA(2546, 15625, F25, 16) (dual of [15625, 15579, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(2540, 15625, F25, 14) (dual of [15625, 15585, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(251, 7, F25, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(15) ⊂ Ce(13) [i] based on
- OOA 2-folding [i] based on linear OA(2547, 15632, F25, 16) (dual of [15632, 15585, 17]-code), using
- linear OOA(2512, 66, F25, 2, 8) (dual of [(66, 2), 120, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(2559, 7882, F25, 2, 16) (dual of [(7882, 2), 15705, 17]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.