Information on Result #1019402
Linear OOA(12862, 699330, F128, 3, 17) (dual of [(699330, 3), 2097928, 18]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12813, 279, F128, 3, 8) (dual of [(279, 3), 824, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1284, 129, F128, 3, 4) (dual of [(129, 3), 383, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;383,128) [i]
- linear OOA(1289, 150, F128, 3, 8) (dual of [(150, 3), 441, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,441P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OOA(1284, 129, F128, 3, 4) (dual of [(129, 3), 383, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(12849, 699051, F128, 3, 17) (dual of [(699051, 3), 2097104, 18]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12849, 2097153, F128, 17) (dual of [2097153, 2097104, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(12849, 2097153, F128, 17) (dual of [2097153, 2097104, 18]-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.