Can't connect to JAAS LDAP in EAP 6

Issue

When you imgirate EAP from 5 to 6, you may find following error in server.log regarding LDAP connection:

DEBUG [gov.ca.doj.wam.jaas.LdapLoginModule] (http-localhost/127.0.0.1:8080-1) Authentication failed: javax.naming.NamingException: JBAS011843: Failed instantiate InitialContextFactory com.sun.jndi.ldap.LdapCtxFactory from classloader ModuleClassLoader for Module "deployment.WAM.war:main" from Service Module Loader [Root exception is javax.naming.CommunicationException: simple bind failed: cadojdevdmzdc01.dbs.dev.doj.ca.gov:636 [Root exception is javax.net.ssl.SSLException: java.net.SocketException: Software caused connection abort: recv failed]]
    at org.jboss.as.naming.InitialContext.getDefaultInitCtx(InitialContext.java:124)
    at org.jboss.as.naming.InitialContext.init(InitialContext.java:107)
    at javax.naming.ldap.InitialLdapContext.<init>(InitialLdapContext.java:154) [rt.jar:1.8.0_40]
    at org.jboss.as.naming.InitialContext.<init>(InitialContext.java:98)
    at org.jboss.as.naming.InitialContextFactory.getInitialContext(InitialContextFactory.java:44)
    at javax.naming.spi.NamingManager.getInitialContext(NamingManager.java:684) [rt.jar:1.8.0_40]
    at javax.naming.InitialContext.getDefaultInitCtx(InitialContext.java:313) [rt.jar:1.8.0_40]

In tcpdump you should be able to see something like:

 Version: TLS 1.2 (0x0303)