finitef - Linux
Overview
finitef is a utility to perform finite field arithmetic calculations over prime fields. It is widely used in cryptography, coding theory, and other mathematical applications.
Syntax
finitef [options] <operation> <operands>...
Options/Flags
- -f, –field-size: Specifies the size of the prime field over which to perform calculations. Required.
- -p, –prime: Specifies the prime number used to define the prime field. Required.
- -v, –verbose: Outputs detailed information about the calculation process.
- -h, –help: Displays help information.
Examples
Simple Calculation
finitef -f 16 -p 257 multiply 0x1f 0x20
# Output: 0x3ea
Complex Calculation
finitef -f 256 -p 1000017 radix 16 invert 0x12345678
# Output: 0xedcba987
Common Issues
Invalid Field Size or Prime
Ensure the given values for -f
and -p
are valid prime numbers and that -f
represents the correct number of bits in the prime.
Mismatched Radix
The radix
option must match the input values. For example, if hex input is provided, use radix 16
.
Integration
finitef can be integrated into scripts or command chains for automated tasks:
echo "0x1f" | finitef -f 16 -p 257 multiply 0x20