👉 Learn how to divide polynomials using the long division algorithm. To be able to solve a polynomial, we need to be able to get the factors and hence the zeros. To get the factors, we use the ...

Abstract: During the Institute of Standards and Technology (NIST) postquantum cryptography standardization process, the lattice-based Dilithium scheme was selected as one of the three third-round ...

Part one explained the physics of quantum computing. This piece explains the target — how bitcoin's encryption works, why a ...

test and verify the Reed-Solomon codec. Each of these steps is important, and missing one results in developing hardware that does not work the first time and must be re-created. For example, it is ...

Abstract: Multi-scalar multiplication (MSM) is the primary computational bottleneck in zero-knowledge proof protocols. To address this, we introduce FAMA, an FPGA-oriented MSM accelerator developed ...

[a[0][0] * b[0][0] + a[0][1] * b[1][0], a[0][0] * b[0][1] + a[0][1] * b[1][1]], [a[1][0] * b[0][0] + a[1][1] * b[1][0], a[1][0] * b[0][1] + a[1][1] * b[1][1 ...

X_t = \sum_{j=0}^\infty \psi_j W_{t-j}, $$ write the coefficients in terms of the parameters $\phi_1,\phi_2,\ldots,\phi_p$. As stated in the theorem on existence and ...