LIST OF TABLES 1.1. Existing codes 3.1. 2x3 words satisfying the (1,3) constraint 73 3.2. 2x4 words satisfying the (1,3) constraint and ending with zeroes on both tracks 3.3. Fibonacci numbers and powers of two 3.4. 2x5 codewords grouped into pairs with intrapair distance 6 3.5. Eight disjoint foursomes of even-weight 2x6 words with intrafoursome distance >6 3.6. A set of 32 disjoint pairs of 2 x 6 codewords with intrapair distance >6 3.7. A set of 32 disjoint foursomes of even-weight 2x7 codewords with intrafoursome distance >6 3.8. A set of 32 disjoint foursomes of odd-weight 2x7 codewords with intrafoursome distance >6 3.9. The 3x2 codewords 3.10. The 4x2 codewords 3.11. Parameters of n x 2 codes for 3 < n < 9