Information on Result #887032
Linear OOA(16127, 65, F16, 2, 124) (dual of [(65, 2), 3, 125]-NRT-code), using standard lengthening with (d0,…,d1) = (123,124) based on linear OOA(16125, 64, F16, 2, 122) (dual of [(64, 2), 3, 123]-NRT-code), using algebraic-geometric NRT-code AG(2;F,5P) with known gap numbers [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using the Hermitian function field over F16 [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(16127, 65, F16, 2, 123) (dual of [(65, 2), 3, 124]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(16127, 65, F16, 2, 122) (dual of [(65, 2), 3, 123]-NRT-code) | [i] | ||
| 3 | Linear OOA(16124, 63, F16, 2, 121) (dual of [(63, 2), 2, 122]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(16123, 63, F16, 2, 120) (dual of [(63, 2), 3, 121]-NRT-code) | [i] | ||
| 5 | Linear OOA(16122, 62, F16, 2, 119) (dual of [(62, 2), 2, 120]-NRT-code) | [i] | ||
| 6 | Linear OOA(16121, 62, F16, 2, 118) (dual of [(62, 2), 3, 119]-NRT-code) | [i] | ||
| 7 | Linear OOA(16120, 61, F16, 2, 117) (dual of [(61, 2), 2, 118]-NRT-code) | [i] | ||
| 8 | Linear OOA(16119, 61, F16, 2, 116) (dual of [(61, 2), 3, 117]-NRT-code) | [i] | ||
| 9 | Linear OOA(16118, 60, F16, 2, 115) (dual of [(60, 2), 2, 116]-NRT-code) | [i] | ||
| 10 | Linear OOA(16117, 60, F16, 2, 114) (dual of [(60, 2), 3, 115]-NRT-code) | [i] | ||
| 11 | Linear OOA(16116, 59, F16, 2, 113) (dual of [(59, 2), 2, 114]-NRT-code) | [i] | ||
| 12 | Linear OOA(16115, 59, F16, 2, 112) (dual of [(59, 2), 3, 113]-NRT-code) | [i] | ||
| 13 | Linear OOA(16114, 58, F16, 2, 111) (dual of [(58, 2), 2, 112]-NRT-code) | [i] | ||
| 14 | Linear OOA(16113, 58, F16, 2, 110) (dual of [(58, 2), 3, 111]-NRT-code) | [i] | ||
| 15 | Linear OOA(16112, 57, F16, 2, 109) (dual of [(57, 2), 2, 110]-NRT-code) | [i] | ||
| 16 | Linear OOA(16111, 57, F16, 2, 108) (dual of [(57, 2), 3, 109]-NRT-code) | [i] | ||
| 17 | Linear OOA(16110, 56, F16, 2, 107) (dual of [(56, 2), 2, 108]-NRT-code) | [i] | ||
| 18 | Linear OOA(16109, 56, F16, 2, 106) (dual of [(56, 2), 3, 107]-NRT-code) | [i] | ||
| 19 | Linear OOA(16108, 55, F16, 2, 105) (dual of [(55, 2), 2, 106]-NRT-code) | [i] | ||
| 20 | Linear OOA(16107, 55, F16, 2, 104) (dual of [(55, 2), 3, 105]-NRT-code) | [i] | ||
| 21 | Linear OOA(16106, 54, F16, 2, 103) (dual of [(54, 2), 2, 104]-NRT-code) | [i] | ||
| 22 | Linear OOA(16105, 54, F16, 2, 102) (dual of [(54, 2), 3, 103]-NRT-code) | [i] | ||
| 23 | Linear OOA(16104, 53, F16, 2, 101) (dual of [(53, 2), 2, 102]-NRT-code) | [i] | ||
| 24 | Linear OOA(16103, 53, F16, 2, 100) (dual of [(53, 2), 3, 101]-NRT-code) | [i] | ||
| 25 | Linear OOA(16102, 52, F16, 2, 99) (dual of [(52, 2), 2, 100]-NRT-code) | [i] | ||
| 26 | Linear OOA(16101, 52, F16, 2, 98) (dual of [(52, 2), 3, 99]-NRT-code) | [i] | ||
| 27 | Linear OOA(1699, 51, F16, 2, 96) (dual of [(51, 2), 3, 97]-NRT-code) | [i] | ||
| 28 | Linear OOA(1698, 50, F16, 2, 95) (dual of [(50, 2), 2, 96]-NRT-code) | [i] | ||
| 29 | Linear OOA(1697, 50, F16, 2, 94) (dual of [(50, 2), 3, 95]-NRT-code) | [i] | ||
| 30 | Linear OOA(1696, 49, F16, 2, 93) (dual of [(49, 2), 2, 94]-NRT-code) | [i] | ||
| 31 | Linear OOA(1695, 49, F16, 2, 92) (dual of [(49, 2), 3, 93]-NRT-code) | [i] | ||
| 32 | Linear OOA(1693, 48, F16, 2, 90) (dual of [(48, 2), 3, 91]-NRT-code) | [i] | ||
| 33 | Linear OOA(1692, 47, F16, 2, 89) (dual of [(47, 2), 2, 90]-NRT-code) | [i] | ||
| 34 | Linear OOA(1691, 47, F16, 2, 88) (dual of [(47, 2), 3, 89]-NRT-code) | [i] | ||
| 35 | Linear OOA(1690, 46, F16, 2, 87) (dual of [(46, 2), 2, 88]-NRT-code) | [i] | ||
| 36 | Linear OOA(1689, 46, F16, 2, 86) (dual of [(46, 2), 3, 87]-NRT-code) | [i] | ||
| 37 | Linear OOA(1687, 45, F16, 2, 84) (dual of [(45, 2), 3, 85]-NRT-code) | [i] | ||
| 38 | Linear OOA(1686, 44, F16, 2, 83) (dual of [(44, 2), 2, 84]-NRT-code) | [i] | ||
| 39 | Linear OOA(1685, 44, F16, 2, 82) (dual of [(44, 2), 3, 83]-NRT-code) | [i] | ||
| 40 | Linear OOA(1684, 43, F16, 2, 81) (dual of [(43, 2), 2, 82]-NRT-code) | [i] | ||
| 41 | Linear OOA(1683, 43, F16, 2, 80) (dual of [(43, 2), 3, 81]-NRT-code) | [i] | ||
| 42 | Linear OOA(1681, 42, F16, 2, 78) (dual of [(42, 2), 3, 79]-NRT-code) | [i] | ||
| 43 | Linear OOA(1680, 41, F16, 2, 77) (dual of [(41, 2), 2, 78]-NRT-code) | [i] | ||
| 44 | Linear OOA(1679, 41, F16, 2, 76) (dual of [(41, 2), 3, 77]-NRT-code) | [i] | ||
| 45 | Linear OOA(1678, 40, F16, 2, 75) (dual of [(40, 2), 2, 76]-NRT-code) | [i] | ||
| 46 | Linear OOA(1677, 40, F16, 2, 74) (dual of [(40, 2), 3, 75]-NRT-code) | [i] | ||
| 47 | Linear OOA(1675, 39, F16, 2, 72) (dual of [(39, 2), 3, 73]-NRT-code) | [i] | ||