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Theorem

Elias Bassalygo Bound

Combinatorics and Graph Theory

The Elias Bassalygo bound, originating with work by L. A. Bassalygo around 1965, is a bound in coding theory that constrains the relationship between a code's transmission rate and the minimum distance it can guarantee for error correction. It is one of the classical limits used to judge how close an error-correcting code comes to the best performance theoretically possible for a given rate and alphabet size.

Facts
Statement
The Elias Bassalygo bound is a mathematical limit used in coding theory for error correction during data transmission or communications. 1
Proof Year
1965 1
Classification
Statement Form
Inequality 1
Connections

Has Statement Form

Inequality, Concepts

Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.

In Branch

Source Elias Bassalygo bound (Wikipedia)
Sources
1. Elias Bassalygo bound (Wikipedia)
  • Introduction
    The Elias Bassalygo bound is a mathematical limit used in coding theory for error correction during data transmission or communications.
  • History
    L. A. Bassalygo published \New upper bounds for error-correcting codes\" in 1965"
  • In Branch: Coding Theory, Lead sentence
    s Bassalygo bound is a mathematical limit used in coding theory for error correction during data transmission or communications.
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