Information on Result #1621305
Linear OOA(3239, 1772610, F3, 5, 22) (dual of [(1772610, 5), 8862811, 23]-NRT-code), using OOA 2-folding based on linear OOA(3239, 3545220, F3, 3, 22) (dual of [(3545220, 3), 10635421, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3239, 3545220, F3, 2, 22) (dual of [(3545220, 2), 7090201, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3239, 4194357, F3, 2, 22) (dual of [(4194357, 2), 8388475, 23]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(328, 56, F3, 2, 11) (dual of [(56, 2), 84, 12]-NRT-code), using
- extracting embedded OOA [i] based on digital (17, 28, 56)-net over F3, using
- trace code for nets [i] based on digital (3, 14, 28)-net over F9, using
- net from sequence [i] based on digital (3, 27)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- net from sequence [i] based on digital (3, 27)-sequence over F9, using
- trace code for nets [i] based on digital (3, 14, 28)-net over F9, using
- extracting embedded OOA [i] based on digital (17, 28, 56)-net over F3, using
- linear OOA(3211, 4194301, F3, 2, 22) (dual of [(4194301, 2), 8388391, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3211, 8388602, F3, 22) (dual of [8388602, 8388391, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(3211, large, F3, 22) (dual of [large, large−211, 23]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
- discarding factors / shortening the dual code based on linear OA(3211, large, F3, 22) (dual of [large, large−211, 23]-code), using
- OOA 2-folding [i] based on linear OA(3211, 8388602, F3, 22) (dual of [8388602, 8388391, 23]-code), using
- linear OOA(328, 56, F3, 2, 11) (dual of [(56, 2), 84, 12]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(3239, 4194357, F3, 2, 22) (dual of [(4194357, 2), 8388475, 23]-NRT-code), using
Mode: 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.