Information on Result #896871
Linear OOA(8173, 16432, F8, 2, 34) (dual of [(16432, 2), 32691, 35]-NRT-code), using (u, u+v)-construction based on
- linear OOA(827, 46, F8, 2, 17) (dual of [(46, 2), 65, 18]-NRT-code), using
- extracting embedded OOA [i] based on digital (10, 27, 46)-net over F8, using
- net from sequence [i] based on digital (10, 45)-sequence over F8, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F8 with g(F) = 9, N(F) = 45, and 1 place with degree 2 [i] based on function field F/F8 with g(F) = 9 and N(F) ≥ 45, using an explicitly constructive algebraic function field [i]
- net from sequence [i] based on digital (10, 45)-sequence over F8, using
- extracting embedded OOA [i] based on digital (10, 27, 46)-net over F8, using
- linear OOA(8146, 16386, F8, 2, 34) (dual of [(16386, 2), 32626, 35]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8146, 32772, F8, 34) (dual of [32772, 32626, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(8146, 32773, F8, 34) (dual of [32773, 32627, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(32) [i] based on
- linear OA(8146, 32768, F8, 34) (dual of [32768, 32622, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(8141, 32768, F8, 33) (dual of [32768, 32627, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(80, 5, F8, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(33) ⊂ Ce(32) [i] based on
- discarding factors / shortening the dual code based on linear OA(8146, 32773, F8, 34) (dual of [32773, 32627, 35]-code), using
- OOA 2-folding [i] based on linear OA(8146, 32772, F8, 34) (dual of [32772, 32626, 35]-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.