Information on Result #1019499
Linear OOA(12878, 699351, F128, 3, 21) (dual of [(699351, 3), 2097975, 22]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12817, 300, F128, 3, 10) (dual of [(300, 3), 883, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1286, 150, F128, 3, 5) (dual of [(150, 3), 444, 6]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,444P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OOA(12811, 150, F128, 3, 10) (dual of [(150, 3), 439, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,439P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150 (see above)
- linear OOA(1286, 150, F128, 3, 5) (dual of [(150, 3), 444, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(12861, 699051, F128, 3, 21) (dual of [(699051, 3), 2097092, 22]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12861, 2097153, F128, 21) (dual of [2097153, 2097092, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(12861, 2097153, F128, 21) (dual of [2097153, 2097092, 22]-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.