Information on Result #908442
Linear OOA(9109, 56, F9, 2, 103) (dual of [(56, 2), 3, 104]-NRT-code), using repeating each code word 2 times based on linear OOA(953, 28, F9, 2, 51) (dual of [(28, 2), 3, 52]-NRT-code), using
- standard lengthening with (d0,…,d1) = (50,51) [i] based on linear OOA(951, 27, F9, 2, 49) (dual of [(27, 2), 3, 50]-NRT-code), using algebraic-geometric NRT-code AG(2;F,4P) with known gap numbers [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using the Hermitian function field over F9 [i]
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(9109, 56, F9, 2, 102) (dual of [(56, 2), 3, 103]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(9109, 56, F9, 2, 101) (dual of [(56, 2), 3, 102]-NRT-code) | [i] | ||
| 3 | Linear OOA(9109, 56, F9, 2, 100) (dual of [(56, 2), 3, 101]-NRT-code) | [i] | ||
| 4 | Linear OOA(9109, 56, F9, 2, 99) (dual of [(56, 2), 3, 100]-NRT-code) | [i] | ||
| 5 | Linear OOA(9108, 55, F9, 2, 102) (dual of [(55, 2), 2, 103]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(9107, 55, F9, 2, 101) (dual of [(55, 2), 3, 102]-NRT-code) | [i] | ||
| 7 | Linear OOA(9104, 53, F9, 2, 98) (dual of [(53, 2), 2, 99]-NRT-code) | [i] | ||
| 8 | Linear OOA(9103, 53, F9, 2, 97) (dual of [(53, 2), 3, 98]-NRT-code) | [i] | ||
| 9 | Linear OOA(9102, 52, F9, 2, 96) (dual of [(52, 2), 2, 97]-NRT-code) | [i] | ||
| 10 | Linear OOA(9100, 51, F9, 2, 94) (dual of [(51, 2), 2, 95]-NRT-code) | [i] | ||
| 11 | Linear OOA(999, 51, F9, 2, 93) (dual of [(51, 2), 3, 94]-NRT-code) | [i] | ||
| 12 | Linear OOA(995, 49, F9, 2, 89) (dual of [(49, 2), 3, 90]-NRT-code) | [i] | ||
| 13 | Linear OOA(992, 47, F9, 2, 86) (dual of [(47, 2), 2, 87]-NRT-code) | [i] | ||
| 14 | Linear OOA(991, 47, F9, 2, 85) (dual of [(47, 2), 3, 86]-NRT-code) | [i] | ||
| 15 | Linear OOA(990, 46, F9, 2, 84) (dual of [(46, 2), 2, 85]-NRT-code) | [i] | ||
| 16 | Linear OOA(987, 45, F9, 2, 81) (dual of [(45, 2), 3, 82]-NRT-code) | [i] | ||
| 17 | Linear OOA(986, 44, F9, 2, 80) (dual of [(44, 2), 2, 81]-NRT-code) | [i] | ||
| 18 | Linear OOA(984, 43, F9, 2, 78) (dual of [(43, 2), 2, 79]-NRT-code) | [i] | ||
| 19 | Linear OOA(980, 41, F9, 2, 74) (dual of [(41, 2), 2, 75]-NRT-code) | [i] | ||
| 20 | Linear OOA(976, 39, F9, 2, 70) (dual of [(39, 2), 2, 71]-NRT-code) | [i] | ||
| 21 | Linear OOA(974, 38, F9, 2, 68) (dual of [(38, 2), 2, 69]-NRT-code) | [i] | ||
| 22 | Linear OOA(9115, 59, F9, 2, 107) (dual of [(59, 2), 3, 108]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 23 | Linear OOA(9117, 60, F9, 2, 109) (dual of [(60, 2), 3, 110]-NRT-code) | [i] | ||
| 24 | Linear OOA(9119, 61, F9, 2, 111) (dual of [(61, 2), 3, 112]-NRT-code) | [i] | ||
| 25 | Linear OOA(9121, 62, F9, 2, 113) (dual of [(62, 2), 3, 114]-NRT-code) | [i] | ||
| 26 | Linear OOA(9123, 63, F9, 2, 115) (dual of [(63, 2), 3, 116]-NRT-code) | [i] | ||
| 27 | Linear OOA(9125, 64, F9, 2, 117) (dual of [(64, 2), 3, 118]-NRT-code) | [i] | ||
| 28 | Linear OOA(9127, 65, F9, 2, 119) (dual of [(65, 2), 3, 120]-NRT-code) | [i] | ||
| 29 | Linear OOA(9129, 66, F9, 2, 121) (dual of [(66, 2), 3, 122]-NRT-code) | [i] | ||
| 30 | Linear OOA(9131, 67, F9, 2, 122) (dual of [(67, 2), 3, 123]-NRT-code) | [i] | ||
| 31 | Linear OOA(9133, 68, F9, 2, 124) (dual of [(68, 2), 3, 125]-NRT-code) | [i] | ||
| 32 | Linear OOA(9135, 69, F9, 2, 126) (dual of [(69, 2), 3, 127]-NRT-code) | [i] | ||
| 33 | Linear OOA(9137, 70, F9, 2, 128) (dual of [(70, 2), 3, 129]-NRT-code) | [i] | ||
| 34 | Linear OOA(9139, 71, F9, 2, 130) (dual of [(71, 2), 3, 131]-NRT-code) | [i] | ||
| 35 | Linear OOA(9141, 72, F9, 2, 132) (dual of [(72, 2), 3, 133]-NRT-code) | [i] | ||