"Sorry, I misunderstood."
Yuki apologized. The misunderstanding with Riku was cleared thanks to Aoi's explanation.
"It happens," Riku laughed.
Aoi said quietly, "Misunderstanding is an error in information transmission."
"Error?"
"Yes. The sender's intent and receiver's interpretation diverge. This corresponds to a bit error."
Mira drew a diagram in her notebook. Communication channel model. The part where noise is added.
"Human communication is also full of noise," Aoi continued.
"What kind of noise?" Yuki asked.
"Ambiguity of words, emotions, preconceptions, different situations."
Riku nodded. "All of that becomes noise?"
"But with error-correcting codes, errors can be fixed."
Aoi wrote formulas on the whiteboard. Example of Hamming codes.
"What's this?"
"Hamming code. Add parity bits to data to correct 1-bit errors."
Yuki showed interest. "Adding redundancy."
"Yes. Becomes longer than original data, but more resistant to errors."
Mira added. "Redundancy enables correction"
"Human conversation also has redundancy," Aoi explained.
"For example, repeating the same thing in different ways."
Riku remembered. "Aoi-senpai, you do that often."
"I do it consciously. Convey important things from multiple angles."
Yuki understood. "That's error correction."
"Right. Even if one explanation is misunderstood, another can correct it."
"But if too redundant?" Riku asked.
"It becomes boring. Same as communication theory, balance is important."
Mira spoke unusually. "Minimum redundancy for maximum clarity"
"Minimum redundancy for maximum clarity," Aoi translated.
Yuki thought. "So about my misunderstanding earlier?"
"An error occurred. But Aoi-senpai's supplement corrected it."
"Meaning information redundancy functioned."
Aoi nodded. "In human relationships, misunderstanding is unavoidable. But it's correctable."
"Like Hamming distance?" Riku asked.
"Good metaphor. Hamming distance is the number of differences between two bit strings."
"For example, Hamming distance between 1001 and 1011 is 1. One bit different."
Yuki applied it. "Can people's perceptions be measured by Hamming distance?"
"Abstractly yes. Difference between other's understanding and your intent."
"The smaller the distance, the less misunderstanding."
"Right. And error-correcting codes can fix up to a certain distance."
Riku asked seriously, "What about uncorrectable errors?"
"If Hamming distance is too large, correction is impossible."
"In human relationships too?"
Aoi answered quietly, "If misunderstanding is too deep, correction becomes difficult."
"So it's important to correct early."
Yuki said sadly, "But sometimes there's no chance to correct."
"Yes. That can lead to sad separations."
Mira wrote. "Error accumulation breaks communication"
"Accumulation of errors breaks communication."
Riku said positively, "So if we add redundancy and check frequently?"
"Exactly. Create feedback loops with 'Got it?' and 'I mean this.'"
Yuki smiled. "Information theory is useful."
"Theory is a tool. Depends how you use it."
Aoi continued. "But there's no perfect error correction."
"Huh?"
"No matter how much redundancy, errors may remain."
"Then what do we do?"
Mira answered quietly. "Acceptance"
"Acceptance?" Yuki asked back.
"Perfect communication is impossible. So forgive small misunderstandings."
Aoi nodded. "That's human kindness."
Riku laughed. "Correcting errors with love?"
"Poetic, but hits the essence."
Yuki understood. "Both technology and emotion are needed."
"Yes. Error-correcting codes help. But ultimately human hearts decide."
The three and Mira looked out the window. Communication is imperfect. But that's why it's beautiful.
"I want relationships where we can correct misunderstandings," Yuki said.
"Yeah," Riku agreed.
"That's friendship," Aoi smiled quietly.
Mira nodded slightly. In an error-filled world, people still connect. Using error-correcting codes called love.