Let's say you have an existing index, and you don't like its name anymore for some reason, you can rename it with the ALTER INDEX ... RENAME TO statement. Here is an example script on how to rename an index:

CREATE TABLE student (id NUMBER(5) PRIMARY KEY,

first_name VARCHAR(80) NOT NULL,

last_name VARCHAR(80) NOT NULL,

birth_date DATE NOT NULL,

social_number VARCHAR(80) UNIQUE NOT NULL);

Table created.

SELECT index_name, table_name, uniqueness

FROM USER_INDEXES WHERE table_name = 'STUDENT';

INDEX_NAME   TABLE_NAME  UNIQUENES

----------------------- --------------------- ---------

SYS_C004153   STUDENT   UNIQUE

SYS_C004154   STUDENT   UNIQUE

ALTER INDEX SYS_C004153 RENAME TO student_pk;

Statement processed.

SELECT index_name, table_name, uniqueness

FROM USER_INDEXES WHERE table_name = 'STUDENT';

INDEX_NAME   TABLE_NAME  UNIQUENES

----------------------- --------------------- ---------

STUDENT_PK   STUDENT   UNIQUE

SYS_C004154   STUDENT   UNIQUE