Zhengzhou oriole xinda electroIf you have any solution or method of realizationNic information co. Ltd. 2 forewords have become more and more widely applied as more and more systems adopt digital techniques to achieve error coding. Rs codes can correct both random errors and sudden errors with a strong ability to correct errors. In recent years, with the development of software radio technology, rs codes and codes have generally been achieved on generic hardware platforms. Vhdl coding hardware based on fpga is usually performed or on dsps, single-piece machines using c and compile programming software. Rs error coding covers a wide range of areas, particularly the design of much of the mathematical knowledge. It's a big challenge for engineers who don't have a bad sense of mathematics. Despite the large number of books that speak of rs code, they are introduced progressively from the hamp codes to the circular code from the bch code to the bch code. What they need for engineers is a brief description and detailed method of realization. The purpose of my writing this article is to focus on ways to achieve it in the shortest possible space in the simplest language. In order to make it easier for the reader to copy this text, the matlab program achieves as much as possible as the hardware c language reader can apply to the project with simple modifications. It's for students and engineers who know how to code rs. Theoretical research, if you're an academic and expert on the wrong code, does not suit you. It is inevitable that readers will be called upon to be critical because of the author's limited level of error. Wenli chen, 2008-01, zhengzhhou oriole xinda electro, zhengzhouNic information co. Ltd. 3, some algebra knowledge,1 a series of data expressed in binary numerics is seen as a pluriform in the error-coding algebra. For example, the binary number sequence 1010111 can be expressed as the value of the ix in the form that indicates the location of the code or the coefficient ia in front of the ix of a binary number. If ia is a binary code, the value is 0 or 1. Mx is known as the information code multiple. The maximum number of multiples of x not having a coefficient of 0 is recorded as fx zirconium. 2. Domains play a vital role in rs coding theory. In short, the 2 mgf has 2 m with 2 mq symbol 0120q alpha alpha alpha − and each element of the field with the following properties can be represented by the sum of 0121ma alpha α −. 11q α - alpha is the root of the original multiform px. The operating rules include adding, subtracting, multiplying and dividing operations during the error coding process. The addition of 10800100111101 α α model 2 plus equal to 0010 and 0111 or minus the same number as the addition is now used as an example in the gf24 field. Example m441pxx for all elements of 2mgf to obtain 410 α or 41 α by zhengzhou oriole xinda electroNic information co. Ltd. 4 the binary equivalent of all elements from which domain can be obtained is 0 000 000 0 alpha 1 1 alpha 1 alpha 2 alpha 2 alpha 2 alpha 0100 4 alpha 3 alpha 1000 8 4 alpha 1 alpha 1 alpha 0011 3 alpha 21 alpha alpha alpha alpha alpha 5 alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha readers may wonder how we get the px. This multiple px feature is 211 mxpx - the residual formula is 0. Since the author is also an engineering technician, how did he get the px? Zhengzhou oriole xinda electroNic information co. Ltd. 5 the author of the design of the rs encoding obtained px in accordance with matlab command rsgenpoly. The format is the rsgenpolynk parameter n the general 21mn-k is the number of information numbers. For example, the original multi-form of m4 code n15 in the length of 9 gf24 can be obtained from the command gttrrsgenpoly159 in the numbers of nk k in the size of the information code nk - the number of monitoring codes. D represents code dimension distance. Defines the distance of a number at the corresponding position of the two code groups referred to as the code group. The code word sent 123... Nccccc received the vector 123... Nrrrrr channel error ecr e. G. C11000r10001 e11100010010001 can see that the 2nd and 5th bits from the left are wrong. 2 validation matrix concept n long message k monitors r. This grouping is in the form of 1212 ... Krcmmmppp im for i message code jp for j checksums the checksums can be obtained from the following linear equation groups. 111121212122122121210010010kkrkrrrkrrkrhrmhmmphmphmmmphmmmmmppp1 is the constant ijh that the calibration equation group can write into the verification matrix zhengzou oriole xinda electroThe matrix has rows and rows
