Definition
A specific mathematical formula used to calculate a Cyclic Redundancy Check (CRC) value over a block of navigation data. The generator polynomial is applied to the data to produce a short check value that travels with the data; the receiving system applies the same polynomial to verify the data has not been altered or corrupted in transit or storage.
Plain English
A fixed math rule used to create a short fingerprint of a chunk of navigation data, so the system can later check that the data has not been changed or damaged.
Context Anchor
Seen in discussions of navigation database quality control, especially how database providers and aircraft systems check that procedure data remains intact.
Derivation
Generator means it generates a check value. Polynomial comes from Latin and Greek roots meaning 'many terms' — a math expression made of several terms added together. Together: a multi-term math formula that generates the data fingerprint.
Why Pilots Care
It confirms the navigation data loaded into the aircraft matches the approved source, preventing errors that could affect position or route accuracy.
Analogy
Like a tamper-evident seal on a medicine bottle. The seal itself is made by a specific machine in a specific way; if the seal does not match what is expected on arrival, you know something has changed and you do not use the contents.
Grounding Statement
In this context, the generator polynomial is not something visible in the cockpit; it is part of the computer-based data checking behind the navigation database.
Intuition Check
Do not confuse generator with the aircraft’s electrical generator. Here, generator means a math rule that creates a check value for digital data.
Example Sentence 1
The database provider applies a generator polynomial to each navigation data block so the avionics can verify the data on load.
Example Sentence 2
During database loading the system runs the same generator polynomial against the file and compares the resulting check value to the one supplied by the provider.