Dash using SHA256 and Monero uses Cryptonight for the PoW algorithm. Dash’s anonymity is based on CoinJoin with masternodes to solve the jamming problem but which compromises the anonymity. CoinJoin is non-autonomous cooperative mixing with the simultaneity flaw. Monero is based on Cryptonote, which are autonomous ring signatures with no simultaniety and other differences. This is superior to coinjoin for a number of reasons. First, there is no need to trust a mixing server. Valid transactions are created by a user's client and then submitted to the network. The privacy afforded by Monero is ensured through cryptography. Ring signatures have gone through decades of peer review in academic journals. This is time tested cryptography, which means a significantly higher degree of reliability.
Secondly Dash may be more dangerous, because of masternodes which can be easily DDOSed (by broadcasting masternodes's IPs), this means using a lot of masternodes and massive computing power can execute a DDOS on the masternodes they don't own, so it's inherently flawed. Monero on the other hand repelled the biggest attack in cryptocurrency. From the technical perspective Monero focuses more on privacy and may have more robust privacy features. It enjoys a fair distribution and has the support for both large investors and technical people. By securing the whole workflow by I2P, it ensures a high standard of privacy as secure it may be.
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