new mathematic solution for practice
That's what we have:
At the present we are the only ones in the world who know how to project and construct non-binary correcting codes
coordinated with non-binary <multilevel> signals in data transmission channels. We have also created ways of program and/or
apparatus realization of these codes. We possess patents for methods and devices that realize our algorithms and we continue
successful working in this field.
The problem of transmitting large volumes of information with high speed and reliability has been and will be the most
actual in the field of information technologies, storage, transmission and reproduction of information.
The application of our codes allows to make a break in constructing high-speed systems of data transmission. Our codes
allow to work via modem with for several orders less number of errors and with a speed several times higher than advertised
56 K.
We have solved a well-known problem of the "lastmile". The use of our codes is effective in systems of wireless connection,
when signals are used with complicated kinds of modulation and this also gives a considerable prize in reduction of an error
for several orders and the speed of transmission enlarges for several times. The field of our codes application is extremely
broad - from digital systems of data transmission up to recognition of graphic images.
A few words about the technical part of the matter:
When we talk about <multilevel> signals, we mean that the number of different signals in a channel can be defined by ANY
number: 2, 3, 4, 5, 6,┘, q. For a designer of systems of connection this gives an opportunity to construct signals with a
modulation of one or several parameters and same time every parameter is not necessarily a prime number or a power of a
prime number, which itself gives considerable advantages.
In addition at the present for any codes developer algebraist except us this is a unsolvable mathematic problem, that is
recognized by world-famous authorities in algebraic theory of coding, such as Peterson, Weldon, Berlekamp and others (see
our site www.mnpq.com). This problem used to be considered unsolvable for about fifty years, but it has been solved by us
successfully.
Our codes are adapted for systems of data transmission with correction of errors in Hamming metrics and what is more
important in Lee metrics, when mostly errors of small size -1,+1,-2,+2 etc are presented in a channel but there's a number
of them and each has it's own frequency. Thus we construct correcting codes for symmetric, asymmetric and considerably
asymmetric channels, for which we have constructed our metrics. This means that we have made a serious step in a problem of
coordination of signal and code.
Our codes have extremely simple realization in comparison with such famous codes like Reed-Solomon codes and they overcome
them by their effectiveness because they correct errors in any of listed metrics, which is principally impossible for
Reed-Solomon codes except Hamming metrics.
What we want:
We understand the significance of the problem in general and taking into account the volume and the cost of a complex of
measures for realization of the whole project. We also reasonably estimate the economic effectiveness of the project and we
choose a strategic partner (partners) for a joint realization of the whole project or it's separate part
Best regards,
Andrey Plotnikov
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