Information on Result #896850
Linear OOA(8168, 16433, F8, 2, 33) (dual of [(16433, 2), 32698, 34]-NRT-code), using (u, u+v)-construction based on
- linear OOA(826, 46, F8, 2, 16) (dual of [(46, 2), 66, 17]-NRT-code), using
- extracting embedded OOA [i] based on digital (10, 26, 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, 26, 46)-net over F8, using
- linear OOA(8142, 16387, F8, 2, 33) (dual of [(16387, 2), 32632, 34]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8142, 32774, F8, 33) (dual of [32774, 32632, 34]-code), using
- construction X applied to Ce(32) ⊂ Ce(30) [i] based on
- 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(8136, 32768, F8, 31) (dual of [32768, 32632, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(81, 6, F8, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(32) ⊂ Ce(30) [i] based on
- OOA 2-folding [i] based on linear OA(8142, 32774, F8, 33) (dual of [32774, 32632, 34]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(8168, 2054, F8, 34, 33) (dual of [(2054, 34), 69668, 34]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |