My Blog (en)

(sticky) Meta Information

2026-04-25T09:00:00.000Z

Lists some meta information related to the blog itself for easy reference.

Fifty-nine — Bye, Tenhou

2026-04-19T14:00:00.000Z

2023/12/28 - 2026/4/10

Fifty-eight — LLM Numerial IQ Test

2026-04-17T03:00:00.000Z

Some LLM-oriented IQ evaluations are already available on the Internet. For example, https://trackingai.org/home lists IQ-test results for well-known domestic and international LLMs, including the public Mensa Norway test and a private question set from a Mensa member. However, the Mensa Norway test is largely focused on visual reasoning. It may therefore also be useful to understand how LLMs perform on numerical reasoning.

How I forced VSCode Remote+Codex to work inside Ubuntu-in-Termux on Android

2026-03-28T04:30:00.000Z

Ever since I rapidly got into vibe coding last December, I wanted to try installing the Codex extension on every machine that could run VSCode. So my next target was that abandoned Android phone. In theory, Android (before Google hadn't yet done all the bad things it could) can install Termux, and the latter even has a script to nest Ubuntu inside it. So in theory, installing Remote SSH and Codex on that Android phone should be possible. But in practice...

How to construct a non-abelian group with p^3 elements

2026-03-12T08:00:00.000Z

Recently, while working through the exercises in Chapter 6 of Silverman's Abstract Algebra: An Integrated Approach, I came across the following challenge problem.

6.16 (d): Challenge Problem. Construct a non-abelian group of order $p^{3}$ for every prime $p$ .

Rathee's trilogy — CrypTFlow2, SIRNN, and SecFloat

2026-01-30T03:30:00.000Z

Background

Notation: Let $λ$ be the security parameter, and the length of the secret-shared integer be $l$ -bits.

Assume having the following basic knowledge in Multi-Party Computation:

1-out-of- $k$ ${OT}_{l}$ can be implemented using public-key cryptography or similar methods, with a communication cost of $2 λ + k l$ per instance; using IKNP, this can be reduced to $λ + k l$ .
Addition and scalar multiplication based on 2-party additive secret sharing are almost free (no communication overhead).
Secure multiplication operations for 2-party computation can be implemented using Beaver triples. One secure multiplication operation requires a total communication cost of $2 l$ .

For floating-point storage, we use IEEE 754 Float32 (single-precision standard):

$(- 1)^{S} \times (1. M) \times 2^{E - b i a s}$
Sign bit $S$ 1 bit, exponent $E$ 7 bits, mantissa $M$ 23 bits, $b i a s = 127$
Round-to-nearest-ties-to-even

Fifty-seven — Upon the Proof of Erdős Problem 281 by GPT 5.2-Pro

2026-01-20T02:30:00.000Z

Two days ago, I stood still and realized: Every path leads to an end. Every action yields the same result. Every message receives the same response. Eventually, the very decision to move became the problem.

Still, I went to the library and borrowed an worn copy of The Myth of Sisyphus. On page two, there was a phone number. I messaged it. Confused, the woman on the other side asked which library. I answered. She said: "I don't remember. It's been too long."

Fifty-six — My 2025

2025-12-31T15:50:00.000Z

I feel like my current life is like a PRNG lacking an entropy source, trapped in a loop called "scientific research," but the one advantage is the rare sense of "peace."

Flash STF-AL10 into Lineage

2025-11-29T14:00:00.000Z

After getting a new phone again, and after a week of persistent effort, I finally managed to flash Lineage onto my previously unlocked bootloader phone (STF-AL10).

Here's a description of the complete flashing process.

Why does elliptic curve point addition satisfy the associative law?

2025-08-10T03:30:00.000Z

This article introduces the proof of the associativity law for elliptic curve point addition, as well as the stronger 9-point theorem. Additionally, it covers three corollaries of this theorem: Pascal's theorem, Pappus' theorem, and the polar principle of pole and polar for conic sections.

Obtaining the super administrator password for the HG6143D1 router

2025-07-28T02:30:00.000Z

Because my under-18-year-old nephew was playing TikTok videos out loud too noisily and was addicted to online games, I decided to take some measures within my capabilities.

For example, I attempted to edit the firewall settings of the telecom router to block access to the domain names associated with the games.

I'll document the exploration process here, with the correct solution provided in the last section.

Fifty-five — Blog 4th anniversary / Talk about the education of last 15 years

2025-07-06T15:30:00.000Z

My blog turns four this year, and this year also marks my graduation from undergraduate studies. Therefore, the theme of this anniversary is to reflect on the domestic education that has accompanied me for the past fifteen years.

This is a heavy topic, but I don't intend to delve into lengthy discussions. Instead, I've chosen a lighter approach: by evaluating the teachers I've encountered from elementary school to university, I hope to sketch a rough outline of education from my perspective.

Happy Tau Day 2025

2025-06-27T16:00:00.000Z

TL;DR of "The Tau Manifesto."

The original text defines $τ = 2 π = 6.283 \dots$ to replace the current circle constant $π$ and lists several reasons for doing so. In addition, I have also included one more reason.

Diophantine equations and elliptic curves

2025-04-27T15:30:00.000Z

In the previous post, we introduced the Weil pairing and Tate pairing on elliptic curves. In this article, we explore some applications of elliptic curves in Diophantine equations.

Calculate weil-pairing from 0 to 1

2025-04-18T07:00:00.000Z

To better understand the Weil pairing and the Miller algorithm, I implemented them from scratch in Python here.

The only dependencies used are the pow function, math.inf, and the deep copy function copy.deepcopy. I also adopted the OOP programming paradigm, which I'm not entirely comfortable with.

Although after writing this, my understanding of both the Weil pairing and OOP has improved (

From a LeetCode problem to a discrete logarithm solution algorithm

2025-03-18T13:00:00.000Z

Let's first look at the problem statement. You can think about it before clicking in:

Given an array of integers nums containing $n + 1$ integers where each integer is in the range $[1, n]$ inclusive, $n \leq 10^{5}$ .

There is only one repeated number in nums, return this repeated number.

You must solve the problem without modifying the array and using only constant extra space.

How to calculate square roots by hand

2025-03-09T15:00:00.000Z

In elementary school, my father proudly showed me how he had learned to manually calculate square roots during his school days, saying it might come in handy for showing off among friends someday. I probably learned it back then, but later, this method seemed to disappear from math textbooks. All I could recall was the mnemonic: "twenty times the initial quotient plus the next quotient." The main purpose of this article is to recount the process of how I managed to recall it.

Intranet penetration to build overleaf server

2025-03-18T15:00:00.000Z

Introduction

In the previous article "Building a Fast and Secure VNC Service from Scratch", we achieved a connection from a non-public network machine to a public network machine using DDNS and set up a VNC service on the public machine. In the mid-series article "Learn Intranet Penetration the Hard Way", we used the DDNS-enabled public machine as a jump server to connect to another non-public network machine, thus realizing the dream of working from home. The goal of this follow-up article is to build a web service (specifically Overleaf) on that other non-public network machine based on the mid-series article, allowing local access and ultimately saving the annual $89 subscription fee.

Fifty-three — Beware of LLM becoming the next "test-taker"

2025-02-01T03:30:00.000Z

With the release of DeepSeek and ChatGPT o3-mini, we are delighted to see that LLMs are continuously striving toward either "cost reduction" or "efficiency improvement." However, given that LLM training also carries a paper-oriented nature, we must remain vigilant. If development continues in this direction, LLMs might become the next "exam-smart but impractical experts."

Fifty-two — My 2024

2024-12-31T05:30:00.000Z

Of all the goals I set in 2023, it seems only passing the IELTS exam went as planned—everything else turned out unexpectedly.

Here's a month-by-month recap of what happened in 2024.