Inhaltsverzeichnis

Development of
Algorithmic Constructions

11:50:55
Deutsch
29.Mar 2024

27 29 31
√2 √3 √5 √6 √7 √8

Number p= Adjoined square root=

Calculation

A=√2
(a+bA)² = a²+b²A² + 2abA mod p
|(a+bA)| = (a+bA)(a-bA) = a²-b²A² mod p

Potence 2 Potence 3 Potence 5 Potence 7 Potence 11 Potence 13 Potence 17 Potence 19 Potence 23 Potence 29

Number = 29, Adjoined = √2, Exponent = 1, Jacobi (2, 29) = -1, 29 = 1 mod 4, 29 = 5 mod 8

28
028√2
Number of elements = 30

Number = 29, Adjoined = √2, Exponent = 1, Jacobi (2, 29) = -1, 29 = 1 mod 4, 29 = 5 mod 8

Potence 2 Potence 3 Potence 5 Potence 7 Potence 11 Potence 13 Potence 17 Potence 19 Potence 23 Potence 29

|28+1A|
=28
|28+28A|
=28
|26+11A|
=28
|26+18A|
=28
|25+9A|
=28
|25+20A|
=28
|24+10A|
=28
|24+19A|
=28
|23+2A|
=28
|23+27A|
=28
|22+5A|
=28
|22+24A|
=28
|19+6A|
=28
|19+23A|
=28
|17+0A|
=28
|12+0A|
=28
|10+6A|
=28
|10+23A|
=28
|7+5A|
=28
|7+24A|
=28
|6+2A|
=28
|6+27A|
=28
|5+10A|
=28
|5+19A|
=28
|4+9A|
=28
|4+20A|
=28
|3+11A|
=28
|3+18A|
=28
|1+1A|
=28
|1+28A|
=28