Information on Result #1013320
Linear OOA(5145, 2796333, F5, 3, 16) (dual of [(2796333, 3), 8388854, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(524, 132, F5, 3, 8) (dual of [(132, 3), 372, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (16, 24, 132)-net over F5, using
- trace code for nets [i] based on digital (4, 12, 66)-net over F25, using
- net from sequence [i] based on digital (4, 65)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- net from sequence [i] based on digital (4, 65)-sequence over F25, using
- trace code for nets [i] based on digital (4, 12, 66)-net over F25, using
- extracting embedded OOA [i] based on digital (16, 24, 132)-net over F5, using
- linear OOA(5121, 2796201, F5, 3, 16) (dual of [(2796201, 3), 8388482, 17]-NRT-code), using
- OOA 3-folding [i] based on linear OA(5121, large, F5, 16) (dual of [large, large−121, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- OOA 3-folding [i] based on linear OA(5121, large, F5, 16) (dual of [large, large−121, 17]-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.
Other Results with Identical Parameters
None.
Depending Results
None.