Linea

Researcher Youssef El Housni published a paper on accelerating cube root computation in Fp2 using the algebraic torus method. **Key Achievement:** - Speeds up cube root computation by up to **2.1x** **Applications:** - ZK point decompression - Hash-to-curve operations - Post-quantum isogeny protocols This optimization improves performance for core cryptographic operations used in zero-knowledge systems and post-quantum cryptography implementations.

Linea's cryptography research team has released new work on applied cryptography aimed at improving ZK infrastructure efficiency. The development, available on GitHub, focuses on making zero-knowledge proof systems faster and more cost-effective. Key technical innovations include: - **Lattice-based hashing** achieving 2.7GB/sec processing speeds - **Vortex polynomial commitment scheme** for optimized proof generation - **Post-quantum secure architecture** built on established cryptographic research The team's approach uses arithmetization to convert complex programs into mathematical equations, creating verifiable proofs while maintaining Ethereum compatibility. Through self-recursion and PlonK compression, the system produces increasingly smaller and faster proofs with each iteration. This research represents ongoing efforts to enhance the Linea Type 2 zkEVM prover, combining cutting-edge cryptography with blockchain scalability for Ethereum's Layer 2 ecosystem. Learn more: [GitHub Repository](https://github.com/yelhousni/fp2-cbrt)

Researcher Youssef El Housni published a paper introducing a more efficient approach to computing cube roots in Fp2, a mathematical operation used in cryptographic systems. **Key Innovation:** - Projects the problem onto an algebraic torus T2(Fp), simplifying the computational structure - Uses Lucas sequences where each step requires one operation instead of three - Computes the cube root of the norm N(x) during the initial projection and stores it for later use **Benefits:** - Reduces computational cost and time - Improves efficiency for cryptographic operations - Eliminates redundant calculations through strategic pre-computation The technique essentially finds a mathematical "shortcut" by working in a simpler space before returning to the original problem domain. [Read the full paper](https://twitter.com/YoussefElHousn3)

**Denaria Finance has officially launched its Mainnet Beta**, introducing high-performance perpetual futures (perps) trading to the Linea ecosystem. **Early Access Opportunity** - The first 100 users can access the platform using exclusive code: **F3A8D18B** - Platform focuses on delivering fast, efficient perpetual trading infrastructure **About the Platform** Denaria operates as a decentralized perpetuals exchange (perp DEX) built on Linea, a zkRollup scaling solution for Ethereum. The beta launch marks the transition from development to live trading operations. Users interested in exploring the platform can find more details on the [Linea Hub](https://linea.build/hub/apps/denaria_2).

Financial institutions are increasingly selecting Ethereum as their blockchain of choice as tokenization gains momentum. The scaling infrastructure, particularly Layer 2 solutions, is becoming essential for institutional adoption. **Key developments:** - ETH is positioned to accrue value as tokenization expands - Layer 2 networks are critical for making Ethereum usable at institutional scale - Financial institutions are preparing to migrate to Layer 2 solutions - Stablecoins, real-world assets (RWAs), and DeFi applications are driving institutional interest The scaling layer represents the infrastructure backbone that will enable Ethereum to handle institutional-grade transaction volumes and use cases.

The MetaMask Rewards claim period for $LINEA tokens has officially closed. **380 million unclaimed $LINEA tokens will be burned**, permanently removing them from circulation. Users who missed the 24-hour final window to claim their allocation through MetaMask Mobile will no longer be able to access these tokens. The burn represents a significant reduction in the total token supply. This follows the standard practice of burning unclaimed tokens from airdrops and reward programs to prevent indefinite token overhang.

MetaMask Card holders can now access improved USDC rates on the Linea network through Aave integration: - **+2.4% boost** when lending USDC - **-2.4% discount** when borrowing USDC The enhanced rates are available through a partnership with Brevis, offering exclusive benefits for MetaMask Card users on Linea's zk rollup network. [Get started with the program](https://incentra.brevis.network/campaign/?pool_id=0x374d7860c4f2f604de0191298dd393703cce84f3&type=3001&chainId=59144)

Phylax Systems CEO Odysseas will discuss the evolution from reactive to proactive security approaches in DeFi during an upcoming conversation. **Key Details:** - **Topic:** The Credible Layer and its implications for builders and DeFi security - **Date:** Thursday, January 29th - **Time:** 3:00 PM UTC - **Platform:** X and YouTube - **Hosts:** suzapolooza_eth and EricCMack Several protocols including Euler Finance, Malda, Turtle, and Denaria Finance have already integrated the Credible Layer for protocol protection. Public assertions are available at [app.phylax.systems](http://app.phylax.systems).

**Four DeFi protocols now live with Credible Layer protection** Euler Finance, Malda, Turtle, and Denaria Finance have deployed Phylax's Credible Layer to protect their protocols, with more deployments coming soon. **How it works:** - Protocols define "bad outcomes" through assertions - security rules validated by the sequencer - Invalid transactions are dropped before execution - Valid transactions proceed normally - All assertions are publicly viewable at [app.phylax.systems](http://app.phylax.systems) **The shift from bug hunting to outcome prevention** Traditional security focuses on finding bugs, but some always slip through. The Credible Layer takes a different approach by preventing harmful outcomes rather than searching for vulnerabilities. Linea has integrated this technology into its sequencer, stopping exploits before they execute. This risk reduction enables institutions like SharpLink to deploy more capital into DeFi. The technology aims to make DeFi less risky for mainstream adoption. [Learn more](https://docs.phylax.systems/credible/credible-introduction?utm_source=twitter&utm_medium=social&utm_campaign=cmp-100328643-afbf08)

Linea has introduced a new feature allowing developers to write and deploy assertions directly onchain in Solidity. The sequencer enforces these rules against every transaction without requiring third parties or additional trust assumptions. **Key features:** - Assertions written in Solidity and deployed onchain - Sequencer-level enforcement on all transactions - No external dependencies or new trust models - Rules can be modified without touching production contracts This builds on Linea's recent collaboration with [Boundless](https://boundless.xyz) to support The Signal, an open-source ZK consensus client that enables trustless Ethereum state access across rollups.