Information on Result #2496021
Linear OOA(4233, 4194543, F4, 2, 22) (dual of [(4194543, 2), 8388853, 23]-NRT-code), using 2 times NRT-code embedding in larger space based on linear OOA(4229, 4194541, F4, 2, 22) (dual of [(4194541, 2), 8388853, 23]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(436, 240, F4, 2, 11) (dual of [(240, 2), 444, 12]-NRT-code), using
- extracting embedded OOA [i] based on digital (25, 36, 240)-net over F4, using
- trace code for nets [i] based on digital (1, 12, 80)-net over F64, using
- net from sequence [i] based on digital (1, 79)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- net from sequence [i] based on digital (1, 79)-sequence over F64, using
- trace code for nets [i] based on digital (1, 12, 80)-net over F64, using
- extracting embedded OOA [i] based on digital (25, 36, 240)-net over F4, using
- linear OOA(4193, 4194301, F4, 2, 22) (dual of [(4194301, 2), 8388409, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4193, 8388602, F4, 22) (dual of [8388602, 8388409, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(4193, large, F4, 22) (dual of [large, large−193, 23]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
- discarding factors / shortening the dual code based on linear OA(4193, large, F4, 22) (dual of [large, large−193, 23]-code), using
- OOA 2-folding [i] based on linear OA(4193, 8388602, F4, 22) (dual of [8388602, 8388409, 23]-code), using
- linear OOA(436, 240, F4, 2, 11) (dual of [(240, 2), 444, 12]-NRT-code), using
Mode: Constructive and 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.