Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: On the basis of elementary transformation,  propose a new method for constructing a class of pure quantum codes [[n − i, 2k − n + i, d − i]]2 and [[n + 1, 2k − n − 1, d + 1]]2 from a class of classical linear codes [n, k, d]2 that contain their dual codes. The construction process was based on the elementary algebra; the error-correcting performance of the quantum codes was analyzed according to the relationship beten the parity-check matrix and the minimum distance of the classical linear codes; the encoding and decoding networks re constructed based on the stabilizer. The proposed method is simple, straightforward and easy to implement using a computer and other hardware system. The theoretical results shod that the method is practical for the construction of a class of quantum codes.
['Fangying Xiao', 'Hanwu Chen', 'MeiJu Xing', 'Zhihao Liu']
I am writing a research paper on a idea Construction of punctured and extended quantum codes over GF(2)
[{"from": "human", "value": "I am writing a research paper on a idea Construction of punctured and extended quantum codes over GF(2)"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: On the basis of elementary transformation,  propose a new method for constructing a class of pure quantum codes [[n \u2212 i, 2k \u2212 n + i, d \u2212 i]]2 and [[n + 1, 2k \u2212 n \u2212 1, d + 1]]2 from a class of classical linear codes [n, k, d]2 that contain their dual codes. The construction process was based on the elementary algebra; the error-correcting performance of the quantum codes was analyzed according to the relationship beten the parity-check matrix and the minimum distance of the classical linear codes; the encoding and decoding networks re constructed based on the stabilizer. The proposed method is simple, straightforward and easy to implement using a computer and other hardware system. The theoretical results shod that the method is practical for the construction of a class of quantum codes."}]