Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Linear codes with large automorphism groups are constructed. Most of them are suitable for permutation decoding. In some cases they are also optimal. For instance,  construct an optimal binary code of length \(n=252\) and dimension \(k=12\) having minimum distance \(d=120\) and automorphism group isomorphic to \(\text {PSL}(2,8)\rtimes \text {C}_{3}\).
['Nicola Pace', 'Angelo Sonnino']
I am writing a research paper on a idea On linear codes admitting large automorphism groups
[{"from": "human", "value": "I am writing a research paper on a idea On linear codes admitting large automorphism groups"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Linear codes with large automorphism groups are constructed. Most of them are suitable for permutation decoding. In some cases they are also optimal. For instance,  construct an optimal binary code of length \\(n=252\\) and dimension \\(k=12\\) having minimum distance \\(d=120\\) and automorphism group isomorphic to \\(\\text {PSL}(2,8)\\rtimes \\text {C}_{3}\\)."}]