Information on Result #906237
Linear OOA(4106, 56, F4, 2, 83) (dual of [(56, 2), 6, 84]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(423, 14, F4, 2, 20) (dual of [(14, 2), 5, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,7P) [i] based on function field F/F4 with g(F) = 3 and N(F) ≥ 14, using
- 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]
- 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(4106, 56, F4, 2, 82) (dual of [(56, 2), 6, 83]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4106, 56, F4, 2, 81) (dual of [(56, 2), 6, 82]-NRT-code) | [i] | ||
| 3 | Linear OOA(4106, 56, F4, 2, 80) (dual of [(56, 2), 6, 81]-NRT-code) | [i] | ||
| 4 | Linear OOA(4105, 55, F4, 2, 82) (dual of [(55, 2), 5, 83]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(4104, 55, F4, 2, 81) (dual of [(55, 2), 6, 82]-NRT-code) | [i] | ||
| 6 | Linear OOA(4103, 54, F4, 2, 80) (dual of [(54, 2), 5, 81]-NRT-code) | [i] | ||
| 7 | Linear OOA(4102, 54, F4, 2, 79) (dual of [(54, 2), 6, 80]-NRT-code) | [i] | ||
| 8 | Linear OOA(4101, 53, F4, 2, 78) (dual of [(53, 2), 5, 79]-NRT-code) | [i] | ||
| 9 | Linear OOA(4100, 53, F4, 2, 77) (dual of [(53, 2), 6, 78]-NRT-code) | [i] | ||
| 10 | Linear OOA(497, 51, F4, 2, 74) (dual of [(51, 2), 5, 75]-NRT-code) | [i] | ||
| 11 | Linear OOA(494, 50, F4, 2, 71) (dual of [(50, 2), 6, 72]-NRT-code) | [i] | ||
| 12 | Linear OOA(492, 49, F4, 2, 69) (dual of [(49, 2), 6, 70]-NRT-code) | [i] | ||
| 13 | Linear OOA(4218, 112, F4, 2, 167) (dual of [(112, 2), 6, 168]-NRT-code) | [i] | Repeating Each Code Word for NRT-Codes | |
| 14 | Linear OOA(4118, 62, F4, 2, 89) (dual of [(62, 2), 6, 90]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 15 | Linear OOA(4120, 63, F4, 2, 91) (dual of [(63, 2), 6, 92]-NRT-code) | [i] | ||
| 16 | Linear OOA(4122, 64, F4, 2, 93) (dual of [(64, 2), 6, 94]-NRT-code) | [i] | ||
| 17 | Linear OOA(4124, 65, F4, 2, 95) (dual of [(65, 2), 6, 96]-NRT-code) | [i] | ||
| 18 | Linear OOA(4126, 66, F4, 2, 96) (dual of [(66, 2), 6, 97]-NRT-code) | [i] | ||
| 19 | Linear OOA(4132, 69, F4, 2, 101) (dual of [(69, 2), 6, 102]-NRT-code) | [i] | ||
| 20 | Linear OOA(4134, 70, F4, 2, 103) (dual of [(70, 2), 6, 104]-NRT-code) | [i] | ||
| 21 | Linear OOA(4136, 71, F4, 2, 104) (dual of [(71, 2), 6, 105]-NRT-code) | [i] | ||
| 22 | Linear OOA(4138, 72, F4, 2, 105) (dual of [(72, 2), 6, 106]-NRT-code) | [i] | ||
| 23 | Linear OOA(4140, 73, F4, 2, 107) (dual of [(73, 2), 6, 108]-NRT-code) | [i] | ||
| 24 | Linear OOA(4144, 75, F4, 2, 109) (dual of [(75, 2), 6, 110]-NRT-code) | [i] | ||
| 25 | Linear OOA(4146, 76, F4, 2, 111) (dual of [(76, 2), 6, 112]-NRT-code) | [i] | ||
| 26 | Linear OOA(4148, 77, F4, 2, 113) (dual of [(77, 2), 6, 114]-NRT-code) | [i] | ||
| 27 | Linear OOA(4156, 81, F4, 2, 118) (dual of [(81, 2), 6, 119]-NRT-code) | [i] | ||
| 28 | Linear OOA(4158, 82, F4, 2, 120) (dual of [(82, 2), 6, 121]-NRT-code) | [i] | ||
| 29 | Linear OOA(4160, 83, F4, 2, 122) (dual of [(83, 2), 6, 123]-NRT-code) | [i] | ||
| 30 | Linear OOA(4178, 92, F4, 2, 135) (dual of [(92, 2), 6, 136]-NRT-code) | [i] | ||
| 31 | Linear OOA(4226, 116, F4, 2, 171) (dual of [(116, 2), 6, 172]-NRT-code) | [i] | ||