Spring Security provides multiple PasswordEncoder implementations with BCRYPT as the recommended implementation.  However, the use-case of sharing an authentication database with an external application, Dovecot, is examined in this article.  Dovecot uses an MD5-CRYPT algorithm.
Complete javadoc is provided.
Reference
The actual encryption algorithm is captured in the Dovecot source file password-scheme-md5crypt.c.
Implementation
The implementation extends DelegatingPasswordEncoder to provide decryption services for the other Spring Security supported password types.  Two inner classes, each subclasses of PasswordEncoder, provide MD5-CRYPT and PLAIN implementations.
@Service
public class MD5CryptPasswordEncoder extends DelegatingPasswordEncoder {
    ...
    private static final String MD5_CRYPT = "MD5-CRYPT";
    private static final HashMap<String,PasswordEncoder> MAP = new HashMap<>();
    static {
        MAP.put(MD5_CRYPT, MD5Crypt.INSTANCE);
        MAP.put("CLEAR", NoCrypt.INSTANCE);
        MAP.put("CLEARTEXT", NoCrypt.INSTANCE);
        MAP.put("PLAIN", NoCrypt.INSTANCE);
        MAP.put("PLAINTEXT", NoCrypt.INSTANCE);
    }
    ...
    public MD5CryptPasswordEncoder() {
        super(MD5_CRYPT, MAP);
        setDefaultPasswordEncoderForMatches(PasswordEncoderFactories.createDelegatingPasswordEncoder());
    }
    private static class NoCrypt implements PasswordEncoder {
        ...
        public static final NoCrypt INSTANCE = new NoCrypt();
        ...
    }
    private static class MD5Crypt extends NoCrypt {
        ...
        public static final MD5Crypt INSTANCE = new MD5Crypt();
        ...
    }
}
The MD5Crypt inner class implementation is straightforward:
    private static class MD5Crypt extends NoCrypt {
        private static final String MD5 = "md5";
        private static final String MAGIC = "$1$";
        private static final int SALT_LENGTH = 8;
        public static final MD5Crypt INSTANCE = new MD5Crypt();
        public MD5Crypt() { }
        @Override
        public String encode(CharSequence raw) {
            return encode(raw.toString(), salt(SALT_LENGTH));
        }
        private String encode(String raw, String salt) {
            if (salt.length() > SALT_LENGTH) {
                salt = salt.substring(0, SALT_LENGTH);
            }
            return (MAGIC + salt + "$" + encode(raw.getBytes(UTF_8), salt.getBytes(UTF_8)));
        }
        private String encode(byte[] password, byte[] salt) {
            /*
             * See source and password-scheme-md5crypt.c.
             */
        }
        @Override
        public boolean matches(CharSequence raw, String encoded) {
            String salt = null;
            if (encoded.startsWith(MAGIC)) {
                salt = encoded.substring(MAGIC.length()).split("[$]")[0];
            } else {
                throw new IllegalArgumentException("Invalid format");
            }
            return encoded.equals(encode(raw.toString(), salt));
        }
    }
The NoCrypt implementation provides the methods for calculating salt and itoa64 conversion.
Spring Boot Application Integration
The PasswordEncoder may be integrated with the following @Configuration:
package some.application;
import ball.spring.MD5CryptPasswordEncoder;
import ...
@Configuration
public class PasswordEncoderConfiguration {
    ...
    @Bean
    public PasswordEncoder passwordEncoder() {
        return new MD5CryptPasswordEncoder();
    }
}
and must be integrated with a UserDetailsService in a WebSecurityConfigurer:
package some.application;
import ...
@Configuration
@EnableWebSecurity
@EnableGlobalMethodSecurity(prePostEnabled = true)
public class WebSecurityConfigurerImpl extends WebSecurityConfigurerAdapter {
    ...
    @Autowired private UserDetailsService userDetailsService;
    @Autowired private PasswordEncoder passwordEncoder;
    @Override
    public void configure(AuthenticationManagerBuilder auth) throws Exception {
        auth.userDetailsService(userDetailsService)
            .passwordEncoder(passwordEncoder);
    }
    ...
}
 

 
    
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