7 ECC Scalar Multiplication
7 : ECC Scalar Multiplication
- Author: Dhanush Kulkarni
- Description: Compact 8-bit ECC Scalar Multiplication Engine demonstrating scalar-point arithmetic for Tiny Tapeout.
- GitHub repository
- Open in 3D viewer
- Clock: 50000000 Hz
How it works
This project implements a compact ECC (Elliptic Curve Cryptography) Scalar Multiplication engine for Tiny Tapeout.
The design accepts an 8-bit scalar value (k) through the dedicated input pins and an 8-bit point coordinate (P) through the bidirectional input pins. On every rising edge of the clock, the circuit performs a simplified scalar multiplication operation:
Q = k × P
The result is stored in an internal register and provided on the output pins. This project demonstrates the core concept of scalar multiplication used in ECC systems while remaining small enough to fit within a 1×1 Tiny Tapeout tile.
Inputs
ui_in[7:0]: Scalar value (k)uio_in[7:0]: Point coordinate (P)
Outputs
uo_out[7:0]: Result of scalar multiplication (Q)
The computation is synchronized with the clock and can be reset using the active-low reset signal.
How to test
- Apply reset by setting
rst_n = 0. - Wait a few clock cycles.
- Release reset by setting
rst_n = 1. - Apply an 8-bit scalar value on
ui_in. - Apply an 8-bit point value on
uio_in. - Wait for one clock cycle.
- Observe the result on
uo_out.
Example Test Cases
| Scalar (k) | Point (P) | Output (Q) |
|---|---|---|
| 5 | 3 | 15 |
| 10 | 4 | 40 |
| 20 | 30 | 88 |
Note: Outputs are limited to 8 bits.
External hardware
No external hardware is required.
The project can be tested entirely using Tiny Tapeout simulation, gate-level simulation, or FPGA-based verification environments.
IO
| # | Input | Output | Bidirectional |
|---|---|---|---|
| 0 | Scalar bit 0 | Result bit 0 | Point bit 0 |
| 1 | Scalar bit 1 | Result bit 1 | Point bit 1 |
| 2 | Scalar bit 2 | Result bit 2 | Point bit 2 |
| 3 | Scalar bit 3 | Result bit 3 | Point bit 3 |
| 4 | Scalar bit 4 | Result bit 4 | Point bit 4 |
| 5 | Scalar bit 5 | Result bit 5 | Point bit 5 |
| 6 | Scalar bit 6 | Result bit 6 | Point bit 6 |
| 7 | Scalar bit 7 | Result bit 7 | Point bit 7 |