Information on Result #895643
Linear OOA(4186, 4194325, F4, 2, 19) (dual of [(4194325, 2), 8388464, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(417, 24, F4, 2, 9) (dual of [(24, 2), 31, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(45, 10, F4, 2, 4) (dual of [(10, 2), 15, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 5, 10)-net over F4, using
- linear OOA(412, 14, F4, 2, 9) (dual of [(14, 2), 16, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,18P) [i] based on function field F/F4 with g(F) = 3 and N(F) ≥ 14, using
- linear OOA(45, 10, F4, 2, 4) (dual of [(10, 2), 15, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(4169, 4194301, F4, 2, 19) (dual of [(4194301, 2), 8388433, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4169, 8388602, F4, 19) (dual of [8388602, 8388433, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(4169, large, F4, 19) (dual of [large, large−169, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(4169, large, F4, 19) (dual of [large, large−169, 20]-code), using
- OOA 2-folding [i] based on linear OA(4169, 8388602, F4, 19) (dual of [8388602, 8388433, 20]-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.