Information on Result #2504128
Linear OOA(5138, 4194353, F5, 2, 16) (dual of [(4194353, 2), 8388568, 17]-NRT-code), using 51 times duplication based on linear OOA(5137, 4194353, F5, 2, 16) (dual of [(4194353, 2), 8388569, 17]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(516, 52, F5, 2, 8) (dual of [(52, 2), 88, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (8, 16, 52)-net over F5, using
- trace code for nets [i] based on digital (0, 8, 26)-net over F25, using
- net from sequence [i] based on digital (0, 25)-sequence over F25, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26, using
- the rational function field F25(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 25)-sequence over F25, using
- trace code for nets [i] based on digital (0, 8, 26)-net over F25, using
- extracting embedded OOA [i] based on digital (8, 16, 52)-net over F5, using
- linear OOA(5121, 4194301, F5, 2, 16) (dual of [(4194301, 2), 8388481, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(5121, 8388602, F5, 16) (dual of [8388602, 8388481, 17]-code), using
- discarding factors / shortening the dual code 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]
- discarding factors / shortening the dual code based on linear OA(5121, large, F5, 16) (dual of [large, large−121, 17]-code), using
- OOA 2-folding [i] based on linear OA(5121, 8388602, F5, 16) (dual of [8388602, 8388481, 17]-code), using
- linear OOA(516, 52, F5, 2, 8) (dual of [(52, 2), 88, 9]-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.
Other Results with Identical Parameters
None.
Depending Results
None.