Information on Result #1192652
Digital (101, 126, 2739)-net over F8, using net defined by OOA based on linear OOA(8126, 2739, F8, 27, 25) (dual of [(2739, 27), 73827, 26]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(8126, 10957, F8, 3, 25) (dual of [(10957, 3), 32745, 26]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(820, 35, F8, 3, 12) (dual of [(35, 3), 85, 13]-NRT-code), using
- extracting embedded OOA [i] based on digital (8, 20, 35)-net over F8, using
- net from sequence [i] based on digital (8, 34)-sequence over F8, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F8 with g(F) = 7, N(F) = 34, and 1 place with degree 2 [i] based on function field F/F8 with g(F) = 7 and N(F) ≥ 34, using a function field by Sémirat [i]
- net from sequence [i] based on digital (8, 34)-sequence over F8, using
- extracting embedded OOA [i] based on digital (8, 20, 35)-net over F8, using
- linear OOA(8106, 10922, F8, 3, 25) (dual of [(10922, 3), 32660, 26]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8106, 32766, F8, 25) (dual of [32766, 32660, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(8106, 32768, F8, 25) (dual of [32768, 32662, 26]-code), using
- an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- discarding factors / shortening the dual code based on linear OA(8106, 32768, F8, 25) (dual of [32768, 32662, 26]-code), using
- OOA 3-folding [i] based on linear OA(8106, 32766, F8, 25) (dual of [32766, 32660, 26]-code), using
- linear OOA(820, 35, F8, 3, 12) (dual of [(35, 3), 85, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
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.