Factorization in Finite Geometry

Abstract

This work centres on non-near-linear finite geometry. In it, lines in 𝒁(𝒃) × 𝒁(𝒃) for factorized as lines of 𝒁(𝒑𝒋) × 𝒌𝒋=𝟏 𝒁(𝒑𝒋), where 𝒑𝒋′s are primes and 𝒑𝟏,𝒑𝟐,…,𝒑𝒌 are relatively prime. Using the method of Good[18] which was built on Chinese remainders theorem, an isomorphism was established between𝑮(𝒃) for 𝒃 a non-prime and 𝑮(𝒑𝒋) 𝒌𝒋=𝟏 where 𝒑𝒋 is a prime.