SSDV systematic erasure FEC: Galois field table generator procedural macros.

This field contains procedural macros that are used to generate the tables for the Galois field arithmetic in the ssdv-fec crate.

API documentation

The documentation for the ssdv-fec-gf-tables crate is hosted in docs.rs.

License

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• Apache License, Version 2.0 (LICENSE-APACHE or http://www.apache.org/licenses/LICENSE-2.0)
• MIT license (LICENSE-MIT or http://opensource.org/licenses/MIT)

at your option.

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lib.rs:

SSDV systematic erasure FEC: Galois field table generator procedural macros.

This field contains procedural macros that are used to generate the tables for the Galois field arithmetic in the ssdv-fec crate.

The Galois field GF(2⁸) is realized as the quotient GF(2)[x] / (x⁸ + x⁴ + x³ + x² + 1). Its arithmetic is implemented using a table of the exponential and a table of the logarithm, which are generated by this crate.

An element a₇x⁷ + ⋯ + a₀ in GF(2⁸) is encoded as an element of u8, where the leading coefficient a₇ is placed in the most-significant bit and the independent term a₀ is placed in the least-significant bit.