Information on Result #906242
Linear OOA(4105, 56, F4, 2, 79) (dual of [(56, 2), 7, 80]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(422, 14, F4, 2, 19) (dual of [(14, 2), 6, 20]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,8P) [i] based on function field F/F4 with g(F) = 3 and N(F) ≥ 14, using
- linear OOA(427, 14, F4, 2, 26) (dual of [(14, 2), 1, 27]-NRT-code), using
- strength reduction [i] based on linear OOA(427, 14, F4, 2, 27) (dual of [(14, 2), 1, 28]-NRT-code), using
- dual of repetition NRT-code with length 14 [i]
- strength reduction [i] based on linear OOA(427, 14, F4, 2, 27) (dual of [(14, 2), 1, 28]-NRT-code), using
- linear OOA(428, 14, F4, 2, 28) (dual of [(14, 2), 0, 29]-NRT-code), using
- linear OOA(428, 14, F4, 2, 28) (dual of [(14, 2), 0, 29]-NRT-code) (see above)
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(4105, 56, F4, 2, 78) (dual of [(56, 2), 7, 79]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4105, 56, F4, 2, 77) (dual of [(56, 2), 7, 78]-NRT-code) | [i] | ||
| 3 | Linear OOA(4105, 56, F4, 2, 76) (dual of [(56, 2), 7, 77]-NRT-code) | [i] | ||
| 4 | Linear OOA(4107, 57, F4, 2, 79) (dual of [(57, 2), 7, 80]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(4104, 55, F4, 2, 78) (dual of [(55, 2), 6, 79]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(4103, 55, F4, 2, 77) (dual of [(55, 2), 7, 78]-NRT-code) | [i] | ||
| 7 | Linear OOA(4102, 54, F4, 2, 76) (dual of [(54, 2), 6, 77]-NRT-code) | [i] | ||
| 8 | Linear OOA(4101, 54, F4, 2, 75) (dual of [(54, 2), 7, 76]-NRT-code) | [i] | ||
| 9 | Linear OOA(4100, 53, F4, 2, 74) (dual of [(53, 2), 6, 75]-NRT-code) | [i] | ||
| 10 | Linear OOA(499, 53, F4, 2, 73) (dual of [(53, 2), 7, 74]-NRT-code) | [i] | ||
| 11 | Linear OOA(497, 52, F4, 2, 71) (dual of [(52, 2), 7, 72]-NRT-code) | [i] | ||
| 12 | Linear OOA(495, 51, F4, 2, 69) (dual of [(51, 2), 7, 70]-NRT-code) | [i] | ||
| 13 | Linear OOA(4217, 112, F4, 2, 159) (dual of [(112, 2), 7, 160]-NRT-code) | [i] | Repeating Each Code Word for NRT-Codes | |
| 14 | Linear OOA(4121, 64, F4, 2, 88) (dual of [(64, 2), 7, 89]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 15 | Linear OOA(4123, 65, F4, 2, 90) (dual of [(65, 2), 7, 91]-NRT-code) | [i] | ||
| 16 | Linear OOA(4131, 69, F4, 2, 96) (dual of [(69, 2), 7, 97]-NRT-code) | [i] | ||
| 17 | Linear OOA(4133, 70, F4, 2, 98) (dual of [(70, 2), 7, 99]-NRT-code) | [i] | ||
| 18 | Linear OOA(4135, 71, F4, 2, 99) (dual of [(71, 2), 7, 100]-NRT-code) | [i] | ||
| 19 | Linear OOA(4137, 72, F4, 2, 100) (dual of [(72, 2), 7, 101]-NRT-code) | [i] | ||
| 20 | Linear OOA(4139, 73, F4, 2, 102) (dual of [(73, 2), 7, 103]-NRT-code) | [i] | ||
| 21 | Linear OOA(4143, 75, F4, 2, 104) (dual of [(75, 2), 7, 105]-NRT-code) | [i] | ||
| 22 | Linear OOA(4145, 76, F4, 2, 106) (dual of [(76, 2), 7, 107]-NRT-code) | [i] | ||
| 23 | Linear OOA(4147, 77, F4, 2, 108) (dual of [(77, 2), 7, 109]-NRT-code) | [i] | ||
| 24 | Linear OOA(4165, 86, F4, 2, 120) (dual of [(86, 2), 7, 121]-NRT-code) | [i] | ||
| 25 | Linear OOA(4169, 88, F4, 2, 123) (dual of [(88, 2), 7, 124]-NRT-code) | [i] | ||