Kryptografischen

Kryptografischen is an inflected form of the German adjective kryptografisch, meaning cryptographic. It is used to describe things related to cryptography, including methods, algorithms, keys, and systems. The form appears in various grammatical contexts, especially in plural or in specific cases.

Etymology and meaning: The word kryptografisch comes from kryptografie (cryptography) with the German adjective ending -isch. The root kryptos means hidden in Greek, and graphein means to write or record. In German, kryptografischen is a typical attributive form that signals a relation to cryptography.

Usage: In technical and scientific German, kryptografischen appears in phrases such as kryptografischen Verfahren, kryptografischen Algorithmen, kryptografischen Schlüsseln, and kryptografische Protokolle. The exact ending of kryptografischen changes with number and case, for example: die kryptografischen Algorithmen (nominative plural, definite article), kryptografische Verfahren (plural, without article), den kryptografischen Systemen (dative plural).

Grammatical notes: Kryptografischen is commonly the plural or certain singular forms in declined phrases. In plural with a definite article, it appears as kryptografischen (die kryptografischen Verfahren). In plural without an article, it also appears as kryptografische. The adjective would take other endings in singular forms (kryptografischer Schlüssel, kryptografische Verschlüsselung, kryptografisches Projekt) depending on gender, number, and case.

In sum, kryptografischen is a frequent, neutral grammatical form used in German to denote cryptographic topics within descriptive phrases.