Information on Result #1203158
Digital (19, 27, 524437)-net over F128, using net defined by OOA based on linear OOA(12827, 524437, F128, 12, 8) (dual of [(524437, 12), 6293217, 9]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(12827, 524438, F128, 4, 8) (dual of [(524438, 4), 2097725, 9]-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(12822, 524288, F128, 4, 8) (dual of [(524288, 4), 2097130, 9]-NRT-code), using
- OOA 4-folding [i] based on linear OA(12822, 2097152, F128, 8) (dual of [2097152, 2097130, 9]-code), using
- an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- OOA 4-folding [i] based on linear OA(12822, 2097152, F128, 8) (dual of [2097152, 2097130, 9]-code), using
- linear OOA(1285, 150, F128, 4, 4) (dual of [(150, 4), 595, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.