Fifteen minutes to decipher three letters, super performance.
The combination of the remaining three letters and the corresponding numbers is the final result of Yu Hua's hundreds 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 scary thing about the entire analysis process?
That is, there is an error between the last letter and the corresponding number.
If after rigorous analysis and deciphering, the last remaining letter g≠9 is equal to any corresponding number of the remaining twenty-five letters, then things suddenly become interesting. This situation will undoubtedly be a disaster for the entire deciphering work. Sexual blow.
g≠9, which means that there is a fatal flaw in the previous analysis and deciphering process of Yu Hua and Hua Luogeng, and they need to overturn the entire progress and start over.
Fortunately, everything is fine.
"Huh..." Yu Hua breathed a sigh of relief and relaxed his brain.
At this time, three sets of alphanumeric combinations quietly appeared on the surface of the scratch paper, elegant and concise.
The last three vacancies in the original red secret matrix were perfectly filled, and all twenty-six letters were deciphered, which means that the first stage goal of deciphering the red secret has been completed.
It is both the first and the most important.
Yu Hua took a short rest, then picked up the draft paper, stood up and faced Hua Luogeng, who was sleeping on the chair. His task had been completed, and Hua Luogeng would be responsible for the next thing.
Regarding operations such as establishing original matrices and inverse matrix operations, Yu Hua's current level is slightly lacking and he still has a little knowledge. He will not make arbitrary claims or show off his strength and let his experienced master Hua Luogeng handle it best.
When engaging in learning, the most taboo thing is to show off one's strength.
However, Yu Hua was very satisfied to be able to personally participate in the work of deciphering the red secret and make a significant contribution to it.
It's late at night and the moon is high.
A round of silver shines down, covering the whole family.
Yu Hua came to Hua Luogeng, gently touched his shoulder with his right hand, and said in a slow and gentle voice: "Professor."
After shouting several times in a row, Hua Luogeng, who was sleeping soundly, made some movement.
Hua Luogeng opened his blurry and reddish eyes, saw Yu Hua standing next to him, and said, "Xiaohua, what's the matter? How long have I been sleeping."
"Professor, the last three results have been released. I'm sorry, you just slept for about an hour." Yu Hua gave the good news with an apology in his words.
"Have you come out yet? Come and see." When Hua Luogeng heard the news, he was startled and immediately stood up. The fatigue in his body seemed to have suddenly disappeared, and he was quite energetic.
"Here it is." Yu Hua handed over the manuscript paper with a smile.
Hua Luogeng quickly took the manuscript paper and cast his eyes on the surface of the manuscript paper. He saw three groups of letter and number combinations that had been strictly mathematically calculated. After reading them, he immediately closed his eyes and calculated in his mind to check the accuracy.
Yu Hua stood quietly without saying a word, waiting for the results of Hua Luogeng's test.
If you want to check whether the last three groups of letters and numbers are correct, for the Hill cipher based on matrix theory, you only need to establish the original matrix and perform deduction calculations.
No matter how difficult a Hill cipher-type encryption algorithm is, its underlying mathematical principles never change—the encryption matrix must be reversible.
The basis for the reversibility of the encryption matrix is that the matrix determinant and modulo 26 are coprime.
Once this rule is violated, since the current twenty-six letters of the red secret and the corresponding numbers cannot be relatively prime, the entire original matrix cannot be reversible.
Failure to perform a reversible operation means one result - error.
Whether it's the last three sets of letters and numbers that are wrong, or any one or more of the twenty-six sets of letters and numbers that are wrong, at the end of the day, it's a mistake.
Wrong, reinvent the wheel.
Correct, decipher the red secret.
Different results, different future.
Although his mental arithmetic ability is not as good as that of Yu Hua, Hua Luogeng's mental arithmetic ability level has almost reached the top of the Chinese mathematics pyramid. With his eyes closed, his brain continues to deduce based on the original matrix mathematical model based on twenty-six sets of letters and numbers.
Five minutes later.
Hua Luogeng, who was as towering as a mountain, opened his eyes that revealed a gleam of wisdom, a signature smile appeared on his face, and looked at Yu Hua.
"Professor, what was the result?" Yu Hua felt Hua Luogeng's gaze and asked softly.
"Everything is correct. The red secret original matrix is reversible. We succeeded. After you joined, it took a total of 33 days to complete the decipherment." Hua Luogeng looked at Yu Hua with a hint of relief in his eyes. He did not sell out and told the final result bluntly.
It worked.
"Huh..." Yu Hua breathed a sigh of relief, and his nervous heart relaxed and returned to normal.
The reason for his nervousness was not that he was not confident in his analytical results. On the contrary, it was because he was extremely confident in his analytical results that he was particularly nervous.
Because... his analysis results are related to national security, although the country at this time may not realize the weight of this analysis result.
Deciphering the Red Secret is not a big deal.
"Xiaohua, this time the work of deciphering the red secret can be completed within 33 days. You should take the lead and play a vital role. Master is very pleased and grateful to you." Hua Luogeng took a deep breath, with a slightly serious face, and said to Yu Hua gave the most pertinent evaluation.
First achievement!
This is Hua Luogeng’s evaluation of Yu Hua.
Without Yu Hua's extraordinary mental arithmetic ability, to be honest, it would have been impossible to complete the deciphering in 99 days, let alone 33 days.
Even if Hua Luogeng had a way to decipher the Red Secret, he would be defeated by the mountain-like workload in the actual deciphering work.
A systematic code-breaking project cannot be accomplished by one person.
Although there will basically be no substantial rewards afterwards, this does not prevent Hua Luogeng from praising Yu Hua... and thanking him.
"Professor, you are over-praising me. The students only did a small job, and you are the one who deserves the most credit." After 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 is the person who has made the greatest contribution. Without him imparting matrix knowledge, Yu Hua would not be able to engage in this work.
Decipher?
Decipher shit.
"Between you and me, don't be like this. You should know that excessive modesty is pride. If you say you are the first to make the first contribution, then you are the first to make the first contribution. Okay, let's not talk about this." Seeing this, Hua Luogeng laughed and shook his head, saying to Yu Hua, Then the conversation changed and he arranged the next thing: "The original matrix has come out. Next, I will perform the matrix inversion operation to find the number of digits of the matrix vector. You are responsible for sorting out the Japanese words and plaintext and preparing to decipher the second batch of the first original plaintext. "
"Student understands." Yu Hua showed a sense of expectation in his heart, with a solemn face and nodded seriously.
When only the original matrix is available, it is impossible to perform matrix inversion operations and find the number of digits of matrix vectors without profound mathematical attainments and research levels.
However, Hua Luogeng can do it.
After searching all over China, the only person who could meet this requirement was Hua Luogeng, who had not yet truly revealed his glory as the father of Chinese mathematics.
Yu Hua's name may be added in the future.
Hua Luogeng and Yu Huabing were divided into two groups, each busy.
Soon, Yu Hua, who had a good command of Japanese, finished processing the Japanese words and original plain text that needed to be sorted out, and waited for the good news from Hua Luogeng.
Not long after, Hua Luogeng completed the inversion of the original matrix, and there was only the last step left to truly decipher the red secret - finding the matrix vector dimensions.
It was about four o'clock in the morning on April 3, 1937.
In the brightly lit study room of Room 28 of the West Campus of Tsinghua University, an original plain text in English letters from the Kwantung Army Headquarters in Xinjing, marked top secret and without any rules, was translated into a Japanese message.
"Order: Chinese Garrison Army..."
