Information on Result #1019452
Linear OOA(12871, 699372, F128, 3, 19) (dual of [(699372, 3), 2098045, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12816, 321, F128, 3, 9) (dual of [(321, 3), 947, 10]-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(12812, 192, F128, 3, 9) (dual of [(192, 3), 564, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,566P) [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192, 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(12855, 699051, F128, 3, 19) (dual of [(699051, 3), 2097098, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12855, 2097153, F128, 19) (dual of [2097153, 2097098, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(12855, 2097153, F128, 19) (dual of [2097153, 2097098, 20]-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.