Information on Result #1015175
Linear OOA(8164, 10957, F8, 3, 32) (dual of [(10957, 3), 32707, 33]-NRT-code), using (u, u+v)-construction based on
- linear OOA(824, 35, F8, 3, 16) (dual of [(35, 3), 81, 17]-NRT-code), using
- extracting embedded OOA [i] based on digital (8, 24, 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, 24, 35)-net over F8, using
- linear OOA(8140, 10922, F8, 3, 32) (dual of [(10922, 3), 32626, 33]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8140, 32766, F8, 32) (dual of [32766, 32626, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(8140, 32768, F8, 32) (dual of [32768, 32628, 33]-code), using
- 1 times truncation [i] based on linear OA(8141, 32769, F8, 33) (dual of [32769, 32628, 34]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 32769 | 810−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(8141, 32769, F8, 33) (dual of [32769, 32628, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(8140, 32768, F8, 32) (dual of [32768, 32628, 33]-code), using
- OOA 3-folding [i] based on linear OA(8140, 32766, F8, 32) (dual of [32766, 32626, 33]-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.