An Improved Physical ZKP for Nonogram

06/26/2021
by   Suthee Ruangwises, et al.
0

Nonogram is a logic puzzle consisting of a rectangular grid with an objective to color every cell black or white such that the lengths of blocks of consecutive black cells in each row and column are equal to the given numbers. In 2010, Chien and Hon developed the first physical zero-knowledge proof for Nonogram, which allows a prover to physically show that he/she knows a solution of the puzzle without revealing it. However, their protocol requires special tools such as scratch-off cards and a machine to seal the cards, which are difficult to find in everyday life. Their protocol also has a nonzero soundness error. In this paper, we propose a more practical physical zero-knowledge proof for Nonogram that uses only a deck of regular paper cards and also has perfect soundness.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
09/21/2020

Physical Zero-Knowledge Proof for Ripple Effect

Ripple Effect is a logic puzzle with an objective to fill numbers into a...
research
02/02/2023

Physical Zero-Knowledge Proof for Five Cells

Five Cells is a pencil puzzle consisting of a rectangular grid, with som...
research
06/25/2021

Two Standard Decks of Playing Cards are Sufficient for a ZKP for Sudoku

Sudoku is a logic puzzle with an objective to fill a number between 1 an...
research
02/14/2023

Physical Zero-Knowledge Proof for Ball Sort Puzzle

Ball sort puzzle is a popular logic puzzle consisting of several bins co...
research
12/22/2021

Physical ZKP for Makaro Using a Standard Deck of Cards

Makaro is a logic puzzle with an objective to fill numbers into a rectan...
research
09/11/2023

Sumplete is Hard, Even with Two Different Numbers

Sumplete is a logic puzzle famous for being developed by ChatGPT. The pu...
research
11/03/2020

Physical Zero-Knowledge Proof for Connected Spanning Subgraph Problem and Bridges Puzzle

An undirected graph G is known to both the prover P and the verifier V, ...

Please sign up or login with your details

Forgot password? Click here to reset