Information on Result #1072003
Linear OOA(2563, 65793, F256, 4, 2) (dual of [(65793, 4), 263169, 3]-NRT-code), using appending 2 arbitrary columns based on linear OOA(2563, 65793, F256, 2, 2) (dual of [(65793, 2), 131583, 3]-NRT-code), using
- appending kth column [i] based on linear OA(2563, 65793, F256, 2) (dual of [65793, 65790, 3]-code), using
- Hamming code H(3,256) [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(25616, large, F256, 4, 5) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(25665, 4260096, F256, 4, 13) (dual of [(4260096, 4), 17040319, 14]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(25665, 4260096, F256, 4, 13) (dual of [(4260096, 4), 17040319, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(25666, 4260352, F256, 4, 13) (dual of [(4260352, 4), 17041342, 14]-NRT-code) | [i] | ||
| 5 | Linear OOA(25666, 4260352, F256, 4, 13) (dual of [(4260352, 4), 17041342, 14]-NRT-code) | [i] | ||
| 6 | Linear OOA(25668, 4325888, F256, 4, 13) (dual of [(4325888, 4), 17303484, 14]-NRT-code) | [i] | ||
| 7 | Linear OOA(25668, 4325888, F256, 4, 13) (dual of [(4325888, 4), 17303484, 14]-NRT-code) | [i] | ||
| 8 | Linear OOA(25662, 4260096, F256, 4, 12) (dual of [(4260096, 4), 17040322, 13]-NRT-code) | [i] | ||
| 9 | Linear OOA(25662, 4260096, F256, 4, 12) (dual of [(4260096, 4), 17040322, 13]-NRT-code) | [i] | ||
| 10 | Linear OOA(25663, 4260352, F256, 4, 12) (dual of [(4260352, 4), 17041345, 13]-NRT-code) | [i] | ||
| 11 | Linear OOA(25663, 4260352, F256, 4, 12) (dual of [(4260352, 4), 17041345, 13]-NRT-code) | [i] | ||
| 12 | Linear OOA(25665, 4325888, F256, 4, 12) (dual of [(4325888, 4), 17303487, 13]-NRT-code) | [i] | ||
| 13 | Linear OOA(25665, 4325888, F256, 4, 12) (dual of [(4325888, 4), 17303487, 13]-NRT-code) | [i] | ||
| 14 | Linear OOA(25667, 7667880, F256, 4, 12) (dual of [(7667880, 4), 30671453, 13]-NRT-code) | [i] | ||
| 15 | Linear OOA(25667, 7667880, F256, 4, 12) (dual of [(7667880, 4), 30671453, 13]-NRT-code) | [i] | ||
| 16 | Linear OOA(25668, 7668135, F256, 4, 12) (dual of [(7668135, 4), 30672472, 13]-NRT-code) | [i] | ||
| 17 | Linear OOA(25668, 7668135, F256, 4, 12) (dual of [(7668135, 4), 30672472, 13]-NRT-code) | [i] | ||
| 18 | Linear OOA(25644, 4194304, F256, 4, 11) (dual of [(4194304, 4), 16777172, 12]-NRT-code) | [i] | ||
| 19 | Linear OOA(25644, 4194304, F256, 4, 11) (dual of [(4194304, 4), 16777172, 12]-NRT-code) | [i] | ||
| 20 | Linear OOA(25645, 4194560, F256, 4, 11) (dual of [(4194560, 4), 16778195, 12]-NRT-code) | [i] | ||
| 21 | Linear OOA(25645, 4194560, F256, 4, 11) (dual of [(4194560, 4), 16778195, 12]-NRT-code) | [i] | ||
| 22 | Linear OOA(25646, 4194816, F256, 4, 11) (dual of [(4194816, 4), 16779218, 12]-NRT-code) | [i] | ||
| 23 | Linear OOA(25646, 4194816, F256, 4, 11) (dual of [(4194816, 4), 16779218, 12]-NRT-code) | [i] | ||
| 24 | Linear OOA(25647, 4195072, F256, 4, 11) (dual of [(4195072, 4), 16780241, 12]-NRT-code) | [i] | ||
| 25 | Linear OOA(25647, 4195072, F256, 4, 11) (dual of [(4195072, 4), 16780241, 12]-NRT-code) | [i] | ||
| 26 | Linear OOA(25649, 4260096, F256, 4, 11) (dual of [(4260096, 4), 17040335, 12]-NRT-code) | [i] | ||
| 27 | Linear OOA(25649, 4260096, F256, 4, 11) (dual of [(4260096, 4), 17040335, 12]-NRT-code) | [i] | ||
| 28 | Linear OOA(25650, 4260352, F256, 4, 11) (dual of [(4260352, 4), 17041358, 12]-NRT-code) | [i] | ||
| 29 | Linear OOA(25650, 4260352, F256, 4, 11) (dual of [(4260352, 4), 17041358, 12]-NRT-code) | [i] | ||
| 30 | Linear OOA(25651, 8355968, F256, 4, 11) (dual of [(8355968, 4), 33423821, 12]-NRT-code) | [i] | ||
| 31 | Linear OOA(25651, 8355968, F256, 4, 11) (dual of [(8355968, 4), 33423821, 12]-NRT-code) | [i] | ||
| 32 | Linear OOA(25653, large, F256, 4, 11) | [i] | ||
| 33 | Linear OOA(25653, large, F256, 4, 11) | [i] | ||
| 34 | Linear OOA(25652, large, F256, 4, 11) | [i] | ||
| 35 | Linear OOA(25652, large, F256, 4, 11) | [i] | ||
| 36 | Linear OOA(25641, 4194304, F256, 4, 10) (dual of [(4194304, 4), 16777175, 11]-NRT-code) | [i] | ||
| 37 | Linear OOA(25641, 4194304, F256, 4, 10) (dual of [(4194304, 4), 16777175, 11]-NRT-code) | [i] | ||
| 38 | Linear OOA(25642, 4194560, F256, 4, 10) (dual of [(4194560, 4), 16778198, 11]-NRT-code) | [i] | ||
| 39 | Linear OOA(25642, 4194560, F256, 4, 10) (dual of [(4194560, 4), 16778198, 11]-NRT-code) | [i] | ||
| 40 | Linear OOA(25643, 4194816, F256, 4, 10) (dual of [(4194816, 4), 16779221, 11]-NRT-code) | [i] | ||
| 41 | Linear OOA(25643, 4194816, F256, 4, 10) (dual of [(4194816, 4), 16779221, 11]-NRT-code) | [i] | ||
| 42 | Linear OOA(25645, 4195072, F256, 4, 10) (dual of [(4195072, 4), 16780243, 11]-NRT-code) | [i] | ||
| 43 | Linear OOA(25645, 4195072, F256, 4, 10) (dual of [(4195072, 4), 16780243, 11]-NRT-code) | [i] | ||
| 44 | Linear OOA(25646, 4260096, F256, 4, 10) (dual of [(4260096, 4), 17040338, 11]-NRT-code) | [i] | ||
| 45 | Linear OOA(25646, 4260096, F256, 4, 10) (dual of [(4260096, 4), 17040338, 11]-NRT-code) | [i] | ||
| 46 | Linear OOA(25647, 4260352, F256, 4, 10) (dual of [(4260352, 4), 17041361, 11]-NRT-code) | [i] | ||
| 47 | Linear OOA(25647, 4260352, F256, 4, 10) (dual of [(4260352, 4), 17041361, 11]-NRT-code) | [i] | ||
| 48 | Linear OOA(25648, 8355968, F256, 4, 10) (dual of [(8355968, 4), 33423824, 11]-NRT-code) | [i] | ||
| 49 | Linear OOA(25648, 8355968, F256, 4, 10) (dual of [(8355968, 4), 33423824, 11]-NRT-code) | [i] | ||
| 50 | Linear OOA(25650, large, F256, 4, 10) | [i] | ||
| 51 | Linear OOA(25650, large, F256, 4, 10) | [i] | ||
| 52 | Linear OOA(25649, large, F256, 4, 10) | [i] | ||
| 53 | Linear OOA(25649, large, F256, 4, 10) | [i] | ||
| 54 | Linear OOA(25635, 4194304, F256, 4, 9) (dual of [(4194304, 4), 16777181, 10]-NRT-code) | [i] | ||
| 55 | Linear OOA(25636, 4194560, F256, 4, 9) (dual of [(4194560, 4), 16778204, 10]-NRT-code) | [i] | ||
| 56 | Linear OOA(25637, 4194816, F256, 4, 9) (dual of [(4194816, 4), 16779227, 10]-NRT-code) | [i] | ||
| 57 | Linear OOA(25638, 4195072, F256, 4, 9) (dual of [(4195072, 4), 16780250, 10]-NRT-code) | [i] | ||
| 58 | Linear OOA(25639, 4260096, F256, 4, 9) (dual of [(4260096, 4), 17040345, 10]-NRT-code) | [i] | ||
| 59 | Linear OOA(25640, 4260352, F256, 4, 9) (dual of [(4260352, 4), 17041368, 10]-NRT-code) | [i] | ||
| 60 | Linear OOA(25641, large, F256, 4, 9) | [i] | ||
| 61 | Linear OOA(25631, 4194304, F256, 4, 8) (dual of [(4194304, 4), 16777185, 9]-NRT-code) | [i] | ||
| 62 | Linear OOA(25631, 4194304, F256, 4, 8) (dual of [(4194304, 4), 16777185, 9]-NRT-code) | [i] | ||
| 63 | Linear OOA(25632, 4194560, F256, 4, 8) (dual of [(4194560, 4), 16778208, 9]-NRT-code) | [i] | ||
| 64 | Linear OOA(25632, 4194560, F256, 4, 8) (dual of [(4194560, 4), 16778208, 9]-NRT-code) | [i] | ||
| 65 | Linear OOA(25633, 4194816, F256, 4, 8) (dual of [(4194816, 4), 16779231, 9]-NRT-code) | [i] | ||
| 66 | Linear OOA(25633, 4194816, F256, 4, 8) (dual of [(4194816, 4), 16779231, 9]-NRT-code) | [i] | ||
| 67 | Linear OOA(25635, 4260096, F256, 4, 8) (dual of [(4260096, 4), 17040349, 9]-NRT-code) | [i] | ||
| 68 | Linear OOA(25635, 4260096, F256, 4, 8) (dual of [(4260096, 4), 17040349, 9]-NRT-code) | [i] | ||
| 69 | Linear OOA(25636, large, F256, 4, 8) | [i] | ||
| 70 | Linear OOA(25636, large, F256, 4, 8) | [i] | ||
| 71 | Linear OOA(25625, 5592832, F256, 4, 7) (dual of [(5592832, 4), 22371303, 8]-NRT-code) | [i] | ||
| 72 | Linear OOA(25627, large, F256, 4, 7) | [i] | ||
| 73 | Linear OOA(25621, 5592576, F256, 4, 6) (dual of [(5592576, 4), 22370283, 7]-NRT-code) | [i] | ||
| 74 | Linear OOA(25622, 5592832, F256, 4, 6) (dual of [(5592832, 4), 22371306, 7]-NRT-code) | [i] | ||
| 75 | Linear OOA(25623, 5593088, F256, 4, 6) (dual of [(5593088, 4), 22372329, 7]-NRT-code) | [i] | ||
| 76 | Linear OOA(25624, large, F256, 4, 6) | [i] | ||
| 77 | Linear OOA(25613, 8355840, F256, 4, 5) (dual of [(8355840, 4), 33423347, 6]-NRT-code) | [i] | ||
| 78 | Linear OOA(25615, large, F256, 4, 5) | [i] | ||
| 79 | Linear OOA(25666, 4292220, F256, 4, 13) (dual of [(4292220, 4), 17168814, 14]-NRT-code) | [i] | ||
| 80 | Linear OOA(25668, 4391166, F256, 4, 13) (dual of [(4391166, 4), 17564596, 14]-NRT-code) | [i] | ||
| 81 | Linear OOA(25663, 4292220, F256, 4, 12) (dual of [(4292220, 4), 17168817, 13]-NRT-code) | [i] | ||
| 82 | Linear OOA(25665, 4391166, F256, 4, 12) (dual of [(4391166, 4), 17564599, 13]-NRT-code) | [i] | ||