Information on Result #526676
There is no linear OA(1631, 34, F16, 30) (dual of [34, 3, 31]-code), because bound for almost-MDS-codes with dimension n = 3
Mode: Bound (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 | No linear OA(1632, 35, F16, 31) (dual of [35, 3, 32]-code) | [i] | Truncation | |
| 2 | No linear OOA(1632, 34, F16, 2, 31) (dual of [(34, 2), 36, 32]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(1633, 34, F16, 2, 32) (dual of [(34, 2), 35, 33]-NRT-code) | [i] | ||
| 4 | No linear OOA(1634, 34, F16, 2, 33) (dual of [(34, 2), 34, 34]-NRT-code) | [i] | ||
| 5 | No linear OOA(1635, 34, F16, 2, 34) (dual of [(34, 2), 33, 35]-NRT-code) | [i] | ||
| 6 | No linear OOA(1636, 34, F16, 2, 35) (dual of [(34, 2), 32, 36]-NRT-code) | [i] | ||
| 7 | No linear OOA(1637, 34, F16, 2, 36) (dual of [(34, 2), 31, 37]-NRT-code) | [i] | ||
| 8 | No linear OOA(1638, 34, F16, 2, 37) (dual of [(34, 2), 30, 38]-NRT-code) | [i] | ||
| 9 | No linear OOA(1639, 34, F16, 2, 38) (dual of [(34, 2), 29, 39]-NRT-code) | [i] | ||
| 10 | No linear OOA(1640, 34, F16, 2, 39) (dual of [(34, 2), 28, 40]-NRT-code) | [i] | ||
| 11 | No linear OOA(1641, 34, F16, 2, 40) (dual of [(34, 2), 27, 41]-NRT-code) | [i] | ||
| 12 | No linear OOA(1642, 34, F16, 2, 41) (dual of [(34, 2), 26, 42]-NRT-code) | [i] | ||
| 13 | No linear OOA(1643, 34, F16, 2, 42) (dual of [(34, 2), 25, 43]-NRT-code) | [i] | ||
| 14 | No linear OOA(1644, 34, F16, 2, 43) (dual of [(34, 2), 24, 44]-NRT-code) | [i] | ||
| 15 | No linear OOA(1645, 34, F16, 2, 44) (dual of [(34, 2), 23, 45]-NRT-code) | [i] | ||
| 16 | No linear OOA(1646, 34, F16, 2, 45) (dual of [(34, 2), 22, 46]-NRT-code) | [i] | ||
| 17 | No linear OOA(1647, 34, F16, 2, 46) (dual of [(34, 2), 21, 47]-NRT-code) | [i] | ||
| 18 | No linear OOA(1648, 34, F16, 2, 47) (dual of [(34, 2), 20, 48]-NRT-code) | [i] | ||
| 19 | No linear OOA(1649, 34, F16, 2, 48) (dual of [(34, 2), 19, 49]-NRT-code) | [i] | ||
| 20 | No linear OOA(1650, 34, F16, 2, 49) (dual of [(34, 2), 18, 50]-NRT-code) | [i] | ||
| 21 | No linear OOA(1651, 34, F16, 2, 50) (dual of [(34, 2), 17, 51]-NRT-code) | [i] | ||
| 22 | No linear OOA(1652, 34, F16, 2, 51) (dual of [(34, 2), 16, 52]-NRT-code) | [i] | ||
| 23 | No linear OOA(1653, 34, F16, 2, 52) (dual of [(34, 2), 15, 53]-NRT-code) | [i] | ||
| 24 | No linear OOA(1654, 34, F16, 2, 53) (dual of [(34, 2), 14, 54]-NRT-code) | [i] | ||
| 25 | No linear OOA(1655, 34, F16, 2, 54) (dual of [(34, 2), 13, 55]-NRT-code) | [i] | ||
| 26 | No linear OOA(1656, 34, F16, 2, 55) (dual of [(34, 2), 12, 56]-NRT-code) | [i] | ||
| 27 | No linear OOA(1657, 34, F16, 2, 56) (dual of [(34, 2), 11, 57]-NRT-code) | [i] | ||
| 28 | No linear OOA(1658, 34, F16, 2, 57) (dual of [(34, 2), 10, 58]-NRT-code) | [i] | ||
| 29 | No linear OOA(1659, 34, F16, 2, 58) (dual of [(34, 2), 9, 59]-NRT-code) | [i] | ||
| 30 | No linear OOA(1660, 34, F16, 2, 59) (dual of [(34, 2), 8, 60]-NRT-code) | [i] | ||
| 31 | No linear OOA(1661, 34, F16, 2, 60) (dual of [(34, 2), 7, 61]-NRT-code) | [i] | ||
| 32 | No linear OOA(1662, 34, F16, 2, 61) (dual of [(34, 2), 6, 62]-NRT-code) | [i] | ||
| 33 | No linear OOA(1663, 34, F16, 2, 62) (dual of [(34, 2), 5, 63]-NRT-code) | [i] | ||
| 34 | No linear OOA(1664, 34, F16, 2, 63) (dual of [(34, 2), 4, 64]-NRT-code) | [i] | ||
| 35 | No linear OOA(1665, 34, F16, 2, 64) (dual of [(34, 2), 3, 65]-NRT-code) | [i] | ||
| 36 | No linear OOA(1631, 34, F16, 2, 30) (dual of [(34, 2), 37, 31]-NRT-code) | [i] | Depth Reduction | |
| 37 | No digital (1, 31, 34)-net over F16 | [i] | Extracting Embedded Orthogonal Array | |
| 38 | No linear OA(1617, 48, F16, 16) (dual of [48, 31, 17]-code) | [i] | Dual of a Near-MDS Code Is Again a Near-MDS Code | |
| 39 | No linear OA(1632, 66, F16, 30) (dual of [66, 34, 31]-code) | [i] | Construction Y1 (Bound) | |