my scientific age

Chapter 125 All correct!

Deciphering three letters in 15 minutes, super performance.

The combination of the remaining three letters and the corresponding numbers is the final result obtained by Yu Hua after hundreds of thousands of rigorous calculations, especially the last letter G and the number 9.

Don't think that the last step is very simple, you only need to find the letter G and the corresponding number. What is the most feared thing in the whole analysis process?
That is, there is an error in the last letter and the corresponding number.

If after rigorous analysis and deciphering, the remaining last letter G≠9 is equal to any corresponding number of the remaining 25 letters, then things will suddenly become interesting. This situation is undoubtedly disastrous for the entire deciphering work hit.

G≠9, which means that there is a fatal loophole in the previous analysis and deciphering of Yu Hua and Hua Luogeng, and the entire progress needs to be overturned and restarted.

Fortunately, everything works fine.

"Huh..." Yu Hua breathed a sigh of relief, his mind relaxed.

At this time, three sets of alphanumeric combinations quietly appear on the surface of the scratch paper, beautiful and concise.

The last three vacancies in the original matrix of Hongmi were perfectly filled, and all 26 letters were deciphered, which means that the first stage goal of deciphering Hongmi has been completed.

Both the first and the most important.

Yu Hua took a short rest, then picked up the scratch paper and got up to meet Hua Luogeng, who was sleeping on the chair. His task had been completed, and Hua Luogeng was in charge of the rest.

For operations such as the establishment of primitive matrices and inverse matrix operations, Yu Hua's current level is slightly lacking, and he is still in a rudimentary understanding.

In learning, the most avoid being stubborn.

However, being able to personally participate in the work of deciphering the red secret and make a major contribution in it has already made Yu Hua very satisfied.

The night is quiet, the moon is high.

A round of Yinhua sprinkled, covering the whole family.

Yu Hua came to Hua Luogeng, touched his shoulder with his right hand, and said in a soft and gentle voice, "Professor."

After shouting several times in a row, Hua Luogeng, who was asleep, moved.

Hua Luogeng opened his blurry and reddish eyes, and when he saw Yu Hua standing beside him, he hit him: "Xiaohua, what's the matter? How long have I slept."

"Professor, the last three results have come out, I'm sorry, you just slept for about an hour." Yu Hua gave the good news, with apology in his words.

"Have you come out yet? Let me have a look." Hua Luogeng was stunned when he heard the news, and the whole person stood up immediately.

"Here." Yu Hua smiled and handed over the manuscript.

Hua Luogeng quickly took the manuscript paper and turned his eyes to the surface of the manuscript paper, only to see three sets of alphanumeric combinations that had been strictly mathematically calculated into his line of sight.

Yu Hua stood quietly, without speaking, waiting for the results of Hua Luogeng's test.

To check whether the last three sets of alphanumerics are correct, for the Hill cipher based on matrix theory, it is only necessary to establish the original matrix and perform deduction calculations.

No matter how difficult a Hill cipher type encryption algorithm is, the underlying math never changes - the encryption matrix must be invertible.

The basis of the invertibility of the encryption matrix is ​​that the matrix determinant and modulo 26 are relatively prime.

Once this rule is violated, the 26 letters and corresponding numbers in Hongmi cannot be mutually primed, and the entire original matrix cannot be reversible.

The irreversible operation means a result - an error.

Whether it's the last three alphanumerics wrong, or any one and as many of the 26 alphanumerics wrong, at the end of the day, it's a mistake.

Mistakes, reinvent the wheel.

Correct, decipher the red secret.

Different results, different futures.

Although his mental arithmetic ability is not as good as Yu Hua's, Hua Luogeng's mental arithmetic ability has almost reached the top of the Chinese mathematics pyramid. With his eyes closed, his brain builds an original matrix mathematical model based on 26 groups of letters and numbers, and constantly deduces it back and forth.

5 minutes later.

Hua Luogeng, who was as majestic as a mountain, opened his eyes that revealed a ray of wisdom, a symbolic smile appeared on his face, and looked at Yu Hua.

"Professor, what's the result?" Yu Hua felt Hua Luogeng's gaze and asked softly.

"Everything is correct, the original red-dense matrix is ​​reversible, and we succeeded. After you joined, it took a total of 33 days to complete the deciphering." Hua Luogeng looked at Yu Hua with a hint of relief, and told the final result bluntly.

Successful.

"Huh..." Yu Hua breathed a sigh of relief, his nervous heart was relieved, and he returned to normal.

The reason for his nervousness is not that he is not confident in his analysis results. On the contrary, he is very nervous because he is extremely confident in his analysis results.

Because... his analysis results are related to national security, although the country at this time may not realize the weight of the analysis results.

Deciphering the red secret is not a big deal.

"Xiao Hua, the deciphering of the red secret can be completed in 33 days. You should be the first and played a vital role. Master is very pleased and thank you very much." Hua Luogeng took a deep breath, his face was slightly serious, and he said to him. Yu Hua sent the most pertinent evaluation.

First work!

This is Hua Luogeng's evaluation of Yu Hua.

Without Yu Hua's extraordinary mental arithmetic ability, to be honest, let alone 33 days to complete the deciphering, even 99 days would not be possible.

Even if Hua Luogeng had a way to decipher the red secret, he would be defeated by a mountain-like workload in the actual deciphering work.

A systematic code-breaking project cannot be done by one person.

Although there will be basically no substantial rewards afterward, this does not prevent Hua Luogeng from praising Yu Hua...and thanking him.

"Professor, you are overrated. The students are only doing your best, and you are the one who deserves the most credit." Hearing Hua Luogeng's words, Yu Hua quickly shook his head. He did not take credit and responded.

In Yu Hua's heart, Hua Luogeng was the one who made the greatest contribution. Without his knowledge of the matrix, Yu Hua would not have been able to do this work at all.

Decipher?

Decipher shit.

"Between you and me, don't be like this. It must be known that being too modest is pride. If you say that you are the first, then you are the first. Well, let's not talk about this." Hua Luogeng laughed and shook his head, saying Yu Hua, Immediately, the conversation changed and the next thing was arranged: "The original matrix came out, and then I will perform the matrix inverse operation to find the number of digits of the matrix vector. You are responsible for the Japanese words and plaintext sorting, and prepare to decipher the first original plaintext of the second batch. "

"Students understand." Yu Hua showed a look of anticipation in his heart, with a solemn face, and nodded earnestly.

In the case of only the original matrix, it is impossible to perform the matrix inversion operation and find the number of digits of the matrix vector without deep mathematical attainments and research level.

However, Hua Luogeng can do it.

Searching all over China, the only person who can meet this condition is Hua Luogeng, who has not really shown the brilliance of the father of Chinese mathematics.

Yu Hua's name may be added in the future.

Hua Luogeng and Yu Huabing are divided into two groups, each busy.

Soon, Yu Hua, who was good at Japanese, finished processing the Japanese words and original plain texts that needed to be sorted out, waiting for the good news from Hua Luogeng.

It didn't take long for Hua Luogeng to complete the inverse operation of the original matrix, and there was only one last step left to decipher the red secret in the true sense - finding the dimensions of the matrix and vector.

April [-], [-] at four in the morning.

In the brightly lit study of Room 28 in the West Courtyard of Tsinghua University, an original plaintext in English letters from the Kwantung Army Command in Xinjing, which was marked as top secret without any rules, was translated into a Japanese telegram.

"Order: Chinese troops stationed in the garrison..."

(End of this chapter)