# cryptographyVs matrices

I need a good example(s) and justification to the following. If any one can help, I am so glad to them. I understand the original computation. However, I am little confused in writing coding and decoding. Please given a suitable example for coding and decoding for better understanding of the following from 1 to 5.

1. Diagonal matrices induced from Quadratic forms are preferred for encoding as their inverses can be easily obtained.

2. This provides a transaction of least amount of messaging between the sender and the receiver. (It is sufficient to know the codes of use and the Quadratic form).Here the security is assured as only those know about the Quadratic Forms can understand the process.

3. Higher order Diagonal matrices are preferred as their inverses are easily found.

4. When the size of the message is too large new string operations may be defined and the message can be splitted and suitable such processing may be carried over.

5. Higher level of security can be achieved by using own conventional codes or codes (As in the word on Security) processed by some structure.

Thank you for having an opportunity to share and learn my questions. Thank you all.

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Please provide more context. You say you "understand the original computation", but you don't tell us what "the original computation" is, so your question does not make much sense to non-telepathic readers. – Henning Makholm Jun 8 '12 at 20:29
Original computations means, I can find an inverse of a matrix without using coding theory. – DurgaBit Jun 9 '12 at 13:49
Good for you. What makes you think coding theory (or cryptography which is something entirely different) has anything to do with finding inverses of matrices? It hasn't. There are places in coding theory where one does need to find inverses of matrices; one then uses perfectly ordinary linear algebra (e.g. Gaussian elimination) to do that. – Henning Makholm Jun 9 '12 at 14:02
This and the other question by the OP left me wondering exactly what is being asked. At first I thought that the question is about applications of coding theory to cryptography, such as McEliece cryptosystem. But that isn't at all related to computing the inverse of a matrix, so I deleted my comment. May be this is a language problem? Can you ask for help with English from a colleague? – Jyrki Lahtonen Jun 10 '12 at 7:35