This article presents problems of unequal information importance. The paper discusses constructive methods of code generation, and a constructive method of generating asymptotic UEP codes is built. An analog model of Hamming's upper bound and Hilbert's lower bound for asymptotic UEP codes is determined.Keywords: unequal error protection codes (UEP codes), perfect codes, Hamming's upper bound, Hilbert's lower bound, generation matrix. Importance of informationEven if a small number of symbols is distorted due to information noise in a given information block, such information is rejected regardless of the fact that the remaining symbols in this particular information block are correct. Using detection codes we can only detect the occurrence of a distortion. In order to assure the required level of credibility of any information being sent, correcting codes are applied. Correcting codes can detect errors and reconstruct information that has been distorted provided that the noise level does not exceed the correcting capabilities of the code applied. The most commonly employed codes provide the same level of protection for all the information symbols in an information block. Such an approach assumes that every symbol is of the same importance. As the level of protection should be adequate to the importance of the information, the correcting codes that provide the level of protection required for the most important symbols are in reality applied to the entire information block. However, this solution is not always optimal.We should now analyse the issue of controlling certain technological processes. The information about the condition of all devices in a managed building is sent to a decision centre (dispatcher). In many cases particular decisions need to be taken, although the acquired information is incomplete or even distorted. In order to avoid such disadvantageous situations, we should guarantee appropriate protection against information distortion and provide a level of credibility which will be appropriate to the importance of the information.In turn we should now investigate the transfer of information in a railway traffic management system. If we take the safety of railway traffic as the evaluation criterion of information importance, then distorting the "stop" signal (red) into the "go" symbol (green) in a report channel is less dangerous than distorting the "go" signal (green) into the "stop" signal (red). As a result, in the first case the system will force a train in a standstill to stop, whereas in the second case the system will not take any actions to stop a train set in motion. This example shows that information can be of variable importance for a user, depending on the evaluation criterion applied.The interpretation of an amount of money to be paid for a purchased product can be yet another example of varied information significance in the information block. The figures on the left-hand side are of lesser importance (however, it does not mean that they are not important at all) than the figures on...
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