<p>This referenda increases the parachain validator set size from 600 to 700. The maximum backing group size is kept to 5, so the total number of usable cores increases to 140.</p>
<p>Additionally, also update the setNDelayTranches from 257 to 299, so that the number of assignments per candidate stays constant to around ~2.33, the justification why this is the desired value for this parameter can be found in ELVES <a href="https://eprint.iacr.org/2024/961">https://eprint.iacr.org/2024/961</a> paper and here.<a href="https://github.com/paritytech/polkadot-sdk/issues/6853#issuecomment-2540373492.">https://github.com/paritytech/polkadot-sdk/issues/6853#issuecomment-2540373492.</a></p>

This referenda increases the parachain validator set size from 600 to 700. The maximum backing group size is kept to 5, so the total number of usable cores increases to 140.

Additionally, also update the setNDelayTranches from 257 to 299, so that the number of assignments per candidate stays constant to around ~2.33, the justification why this is the desired value for this parameter can be found in ELVES [https://eprint.iacr.org/2024/961](https://eprint.iacr.org/2024/961) paper and here.[https://github.com/paritytech/polkadot-sdk/issues/6853#issuecomment-2540373492.](https://github.com/paritytech/polkadot-sdk/issues/6853#issuecomment-2540373492.)

- **Problem Statement:** Increasing the parachain validator set size from 600 to 700 while maintaining a maximum backing group size of 5.
- **Significance:** Enhancing the total number of usable cores to 140 and updating setNDelayTranches from 257 to 299 to maintain a constant number of assignments per candidate.
- **Proposed Solution:** Adjusting the parachain validator set size and setNDelayTranches values.
- **Expected Outcomes:** Increased efficiency in the parachain validator set with a larger size and optimized assignment distribution per candidate.

#511 [Whitelisted Caller] Increase max_validators to 700

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