"I was misunderstood again."
Riku entered the club room looking dejected.
"What happened?" Aoi asked.
"I made a joke to a classmate, but they took it seriously."
Yuki sympathized. "That happens often."
"Human conversation has a lot of noise," Aoi explained. "So error correction is necessary."
"Error correction?" Riku asked.
"Technology to detect and correct errors in communication. Can be applied to human relationships too."
Aoi drew a diagram on the whiteboard.
"Transmission: Riku's intention Noise: Unclear expression, lack of context Reception: Other's interpretation"
"Noise causes errors."
Yuki wrote in the notebook. "How to prevent errors?"
"Add redundancy. Parity bits, error detection codes, Hamming codes."
"In human cases?"
Aoi answered. "Repetition, rephrasing, confirmation."
Riku understood. "So I should add 'just kidding.'"
"That's redundancy. Extra information prevents misunderstanding."
Yuki asked. "But explaining too much is annoying."
"It's a tradeoff," Aoi admitted. "Higher redundancy improves error correction ability. But efficiency decreases."
"Balance is important."
"Yes. Adjust redundancy according to the other's noise level."
Riku thought. "With close friends, few words get through."
"Because mutual information is high, low redundancy is fine."
"With strangers, explain carefully."
"Because mutual information is low, high redundancy is needed."
Yuki showed interest. "What specifically are error correction codes?"
Aoi explained. "Hamming codes add parity bits to data bits."
"Send 4 bits of information with 7 bits. 3 bits are redundancy."
"Can automatically correct single-bit errors."
Riku was surprised. "It fixes automatically?"
"Yes. Using code properties, identify error location and correct it."
"The human brain does something similar," Yuki said.
"Right. Detect errors from context and infer correct meaning."
Aoi gave an example.
"The message 'I wll go.' Can detect missing 'i' as an error."
"Grammar and context act as parity bits."
Riku asked seriously. "Can misunderstandings be completely prevented?"
"They can't," Aoi answered immediately. "Like Shannon limits, error correction has limits too."
"When noise is too large, correction is impossible."
Yuki said quietly. "So effort to reduce noise is also important."
"Exactly. Both sender and receiver need to make efforts."
Aoi looked outside. "Noise reduction. That's the key to good communication."
Riku laughed. "Sounds like a title. Noise Reduction Love."
"Not bad," Aoi smiled. "Love might also be a battle with noise."
"Reducing misunderstandings, deepening understanding."
Yuki closed the notebook. "Error correction can be used daily."
"We use it unconsciously. But being aware makes us better at it."
Riku stood up. "From today, I'll be conscious of redundancy."
"But moderately," Aoi warned. "Excessive redundancy reduces efficiency."
"Balance, right," Yuki nodded.
The three quietly left the classroom. In a noisy world, living while error correcting.
That was the essence of noise reduction love.