1. Error correcting codes from sub-exceeding functions.
- Author
-
Rabefihavanana, L., Andriatahiny, H., and Rabeherimanana, T.
- Subjects
- *
ERROR-correcting codes , *LINEAR codes , *DATA transmission systems , *CIPHERS , *NEUROPROSTHESES , *ERROR correction (Information theory) - Abstract
In this paper, we present linear systematic error-correcting codes Lk and L+k which are the results of our research on the sub-exceeding functions. Given an integer k such that k ≥ 3, these two codes are re-spectively [2k, k] and [3k, k] linear codes. The minimum distance of L3 is 3 and for k ≥ 4 the minimum distance of Lk is 4. The code L+k, the minimum distances are respectively 5 and 6 for k = 4 and k ≥ 5. By calculating the complexity of the algorithms, our codes have fast and efficient decoding. Then, for a short and medium distance data transmission (wifi network, bluetooth, cable, ...), we see that the codes mentioned above present many advantages. [ABSTRACT FROM AUTHOR]
- Published
- 2019