Information on Result #1083237
Linear OOA(12867, 524588, F128, 4, 18) (dual of [(524588, 4), 2098285, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12815, 300, F128, 4, 9) (dual of [(300, 4), 1185, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1285, 150, F128, 4, 4) (dual of [(150, 4), 595, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(1285, 150, F128, 3, 4) (dual of [(150, 3), 445, 5]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,445P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- appending kth column [i] based on linear OOA(1285, 150, F128, 3, 4) (dual of [(150, 3), 445, 5]-NRT-code), using
- linear OOA(12810, 150, F128, 4, 9) (dual of [(150, 4), 590, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,590P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150 (see above)
- linear OOA(1285, 150, F128, 4, 4) (dual of [(150, 4), 595, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(12852, 524288, F128, 4, 18) (dual of [(524288, 4), 2097100, 19]-NRT-code), using
- OOA 4-folding [i] based on linear OA(12852, 2097152, F128, 18) (dual of [2097152, 2097100, 19]-code), using
- an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- OOA 4-folding [i] based on linear OA(12852, 2097152, F128, 18) (dual of [2097152, 2097100, 19]-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.