Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  quadratic residue codes over the ring Fp + vFp are introduced in terms of their idempotent generators. The structure of these codes is studied and it is observed that these codes share similar properties with quadratic residue codes over finite fields. For the case p = 2, Euclidean and Hermitian self-dual families of codes as extended quadratic residue codes are considered and two optimal Hermitian self-dual codes are obtained as examples. Moreover, a substantial number of good p-ary codes are obtained as images of quadratic residue codes over Fp +vFp in the cases where p is an odd prime. These results are presented in tables.
['Abidin Kaya', 'Bahattin Yildiz', 'Irfan Siap']
I am writing a research paper on a idea Quadratic Residue Codes over F_p+vF_p and their Gray Images
[{"from": "human", "value": "I am writing a research paper on a idea Quadratic Residue Codes over F_p+vF_p and their Gray Images"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  quadratic residue codes over the ring Fp + vFp are introduced in terms of their idempotent generators. The structure of these codes is studied and it is observed that these codes share similar properties with quadratic residue codes over finite fields. For the case p = 2, Euclidean and Hermitian self-dual families of codes as extended quadratic residue codes are considered and two optimal Hermitian self-dual codes are obtained as examples. Moreover, a substantial number of good p-ary codes are obtained as images of quadratic residue codes over Fp +vFp in the cases where p is an odd prime. These results are presented in tables."}]