SPACES OF MODULAR FORMS AND ALGEBRAIC GEOMETRIC CODES

Hiren Maharaj · International Journal of Number Theory · 2012

For ℓ = 2, 3, 5, we show that spaces of modular forms M2k(Γ0(ℓn)) are closely related to a class of one-point codes from the reduction of the modular tower {X0(ℓn)}n≥2 (mod p) for primes p > ℓ. Code construction from the space of cusp form is also considered.

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