In this manuscript, comprehensive analysis of distinct optical codes belonging to family of algebraically constructed codes has been demonstrated. Many optical codes belonging to algebraically constructed family such as Extended Reed-solomon codes (E-RS), Multi-level prime codes (MPC), Extended-multi level prime codes (E-MPC), and Variable-weight quadratic congruence codes (VWQCC), Bipolar/Unipolar codes are taken into consideration. The performance characteristics of these codes are examined through Hard-error limiting probability (HEP) equations. Investigations revealed that Bipolar/Unipolar code is the one algebraically developed code that has outperformed all the codes considered here even in the presence of Multi-user interference effect. It has been observed that this optical 2D Bipolar/Unipolar code shows minimum BER value with increasing user count. Hence Bipolar/Unipolar code is robust to multiple user interference affected OCDMA systems.

中文翻译：

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光学CDMA的2D代数构造代码的仿真综合分析

在此手稿中，已经证明了对属于代数构造代码族的不同光学代码的综合分析。属于代数构造族的许多光学代码，例如扩展里德-所罗门代码（E-RS），多级素数代码（MPC），扩展多级素数代码（E-MPC）和可变权重二次同余码（ VWQCC），双极性/单极性代码被考虑在内。通过硬错误限制概率（HEP）公式检查了这些代码的性能特征。调查显示，双极性/单极性代码是一种代数开发的代码，即使存在多用户干扰效应，其性能也优于此处考虑的所有代码。已经观察到，随着用户数量的增加，这种光学二维双极性/单极性代码显示出最小的BER值。因此，双极性/单极性代码对于受多用户干扰影响的OCDMA系统具有鲁棒性。