The existence of perfect (n m, 3, 2, 1) -geometric orthogonal codes

Key Points

• Perfect geometric orthogonal codes provide robust error correction capabilities, enhancing communication efficiency.
• The study identifies specific parameters, focusing on the dimensions denoted by n and m, to define the codes.
• A theoretical framework is developed, utilizing principles from coding theory to explore the design of these orthogonal codes.
• Potential applications in telecommunications highlight the importance of achieving efficient and reliable communication systems.