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Electronic Colloquium on Computational Complexity

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REPORTS > AUTHORS > UTKARSH TRIPATHI:
All reports by Author Utkarsh Tripathi:

TR19-109 | 21st August 2019
Srikanth Srinivasan, Utkarsh Tripathi, S Venkitesh

Decoding Downset codes over a finite grid

In a recent paper, Kim and Kopparty (Theory of Computing, 2017) gave a deterministic algorithm for the unique decoding problem for polynomials of bounded total degree over a general grid $S_1\times\cdots \times S_m.$ We show that their algorithm can be adapted to solve the unique decoding problem for the general ... more >>>


TR18-157 | 10th September 2018
Nutan Limaye, Karteek Sreenivasiah, Srikanth Srinivasan, Utkarsh Tripathi, S Venkitesh

The Coin Problem in Constant Depth: Sample Complexity and Parity gates

Revisions: 2

The $\delta$-Coin Problem is the computational problem of distinguishing between coins that are heads with probability $(1+\delta)/2$ or $(1-\delta)/2,$ where $\delta$ is a parameter that is going to $0$. We study the complexity of this problem in the model of constant-depth Boolean circuits and prove the following results.

1. Upper ... more >>>




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