Error-detecting solid codes
This work is incremental, addressing error detection in coding theory for data transmission applications.
The authors extended a recent construction of variable-length solid codes from binary to arbitrary n-ary codes and proved an error-detection property for a specific subfamily, with a concrete application to a binary code.
A code is called solid if, roughly speaking, any correctly-transmitted codeword in an arbitrarily corrupted string of codewords can still be decoded correctly and unambiguously. So-called variable-length solid codes, in which codewords may differ in length, have been studied by various authors. In this short note, we observe that a recent construction of variable-length solid codes based on binary codes may be extended to arbitrary n-ary codes. We further prove an interesting error-detection property of a specific subfamily of these variable-length solid codes, and give a concrete application to a certain type of binary code.