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+# v0 Parameters
+
+The `v0-parameters` tool provides crypto-parameters that guarantee security, correctness and fast
+computation without prior knowledge of the crypto-parameter optimization.
+
+It can also be used to explore the crypto-parameter space w.r.t. the 2-norm of the dot product, the
+precision or even the failure probability.
+
+For now, we only support two kind of atomic patterns but more will be added in the near future.
+
+## Supported Atomic Patterns
+
+### Default Atomic Pattern
+
+The default atomic pattern is composed of a dot product between ciphertexts and integer weights, an
+LWE-to-LWE keyswitch and a PBS i.e.
+
+<div style="text-align: center;"> DotProduct(v) ➜ KS ➜ PBS </div>
+
+This atomic pattern allows to compute over encrypted data a dot product and a lookup-table
+evaluation for precision between 1 and 8 (with the default failure probability) and 2-norm between
+2^0 and 2^25. The 2-norm is defined as the 2-norm v of the weights of the Dot Product. It is used as
+a metric to quantify the impact of the leveled operations between two PBS on the noise  (here a
+DotProduct). Note that an atomic pattern can be described by its precision and 2-norm but only in
+the case that every inputs are independents from one another (regarding the noise).
+
+### New Atomic Pattern
+
+Another atomic pattern is available leveraging the new WoP-PBS (Without-Padding Programmable
+Bootstrapping) described in this [paper](https://eprint.iacr.org/2022/704.pdf). It is composed of a
+dot product between ciphertexts and integer weights and a WoP-PBS.
+
+<div style="text-align: center;"> DotProduct(v) ➜ WoP-PBS </div>
+
+Using this new AP, we can find parameters for precision up to 16 bits 🥳 using the optional flag `
+--wop-pbs` like that
+
+```bash
+cargo run --release -- --wop-pbs
+```
+
+## Usage
+
+The `v0-parameters` tool can take several parameters as arguments. The summary of all available
+arguments is accessible by running in the `v0-parameters/` folder
+
+```bash
+cargo run --release -- --help
+```
+
+By default, the optimization is done on the default AP (DotProduct -> Ks -> PBS) for every available
+precision and for every 2-norm. If not specified, the correctness of the computation is guaranteed
+up to a failure probability of 2^-13.9. This can be changed using the `--p-error`
+optional argument.
+
+Try running `cargo run --release`, you will get the V0 Parameters Table that was previously used
+in `concrete-compiler`.
+
+## Advanced Usage
+
+It is possible to choose the search space for each cryptographic parameters. For example, here we
+constrain the glwe dimension to be equal to 1:
+
+```bash
+cargo run --release -- --max-glwe-dim 1
+```
+
+