Information on Result #736192
Linear OA(57, 44, F5, 4) (dual of [44, 37, 5]-code), using codes constructed by inverting construction Y1
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(5136, 390665, F5, 20) (dual of [390665, 390529, 21]-code) | [i] | Construction X with Cyclic Codes | |
| 2 | Linear OA(5120, 78161, F5, 20) (dual of [78161, 78041, 21]-code) | [i] | ||
| 3 | Linear OA(5143, 1953168, F5, 19) (dual of [1953168, 1953025, 20]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 4 | Linear OA(5134, 1953168, F5, 18) (dual of [1953168, 1953034, 19]-code) | [i] | ||
| 5 | Linear OA(5125, 1953168, F5, 17) (dual of [1953168, 1953043, 18]-code) | [i] | ||
| 6 | Linear OA(5116, 1953168, F5, 16) (dual of [1953168, 1953052, 17]-code) | [i] | ||
| 7 | Linear OA(5107, 1953168, F5, 14) (dual of [1953168, 1953061, 15]-code) | [i] | ||
| 8 | Linear OA(598, 1953168, F5, 13) (dual of [1953168, 1953070, 14]-code) | [i] | ||
| 9 | Linear OA(589, 1953168, F5, 12) (dual of [1953168, 1953079, 13]-code) | [i] | ||
| 10 | Linear OA(580, 1953168, F5, 11) (dual of [1953168, 1953088, 12]-code) | [i] | ||
| 11 | Linear OA(5144, 390664, F5, 22) (dual of [390664, 390520, 23]-code) | [i] | ||
| 12 | Linear OA(5136, 390664, F5, 21) (dual of [390664, 390528, 22]-code) | [i] | ||
| 13 | Linear OA(5128, 390664, F5, 19) (dual of [390664, 390536, 20]-code) | [i] | ||
| 14 | Linear OA(5120, 390664, F5, 18) (dual of [390664, 390544, 19]-code) | [i] | ||
| 15 | Linear OA(5112, 390664, F5, 17) (dual of [390664, 390552, 18]-code) | [i] | ||
| 16 | Linear OA(5104, 390664, F5, 16) (dual of [390664, 390560, 17]-code) | [i] | ||
| 17 | Linear OA(596, 390664, F5, 14) (dual of [390664, 390568, 15]-code) | [i] | ||
| 18 | Linear OA(588, 390664, F5, 13) (dual of [390664, 390576, 14]-code) | [i] | ||
| 19 | Linear OA(580, 390664, F5, 12) (dual of [390664, 390584, 13]-code) | [i] | ||
| 20 | Linear OA(572, 390664, F5, 11) (dual of [390664, 390592, 12]-code) | [i] | ||
| 21 | Linear OA(5148, 78160, F5, 26) (dual of [78160, 78012, 27]-code) | [i] | ||
| 22 | Linear OA(5141, 78160, F5, 24) (dual of [78160, 78019, 25]-code) | [i] | ||
| 23 | Linear OA(5134, 78160, F5, 23) (dual of [78160, 78026, 24]-code) | [i] | ||
| 24 | Linear OA(5127, 78160, F5, 22) (dual of [78160, 78033, 23]-code) | [i] | ||
| 25 | Linear OA(5120, 78160, F5, 21) (dual of [78160, 78040, 22]-code) | [i] | ||
| 26 | Linear OA(5113, 78160, F5, 19) (dual of [78160, 78047, 20]-code) | [i] | ||
| 27 | Linear OA(5106, 78160, F5, 18) (dual of [78160, 78054, 19]-code) | [i] | ||
| 28 | Linear OA(599, 78160, F5, 17) (dual of [78160, 78061, 18]-code) | [i] | ||
| 29 | Linear OA(592, 78160, F5, 16) (dual of [78160, 78068, 17]-code) | [i] | ||
| 30 | Linear OA(585, 78160, F5, 14) (dual of [78160, 78075, 15]-code) | [i] | ||
| 31 | Linear OA(578, 78160, F5, 13) (dual of [78160, 78082, 14]-code) | [i] | ||
| 32 | Linear OA(571, 78160, F5, 12) (dual of [78160, 78089, 13]-code) | [i] | ||
| 33 | Linear OA(564, 78160, F5, 11) (dual of [78160, 78096, 12]-code) | [i] | ||
| 34 | Linear OA(5130, 15659, F5, 26) (dual of [15659, 15529, 27]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 35 | Linear OA(582, 15659, F5, 16) (dual of [15659, 15577, 17]-code) | [i] | ||
| 36 | Linear OOA(57, 22, F5, 2, 4) (dual of [(22, 2), 37, 5]-NRT-code) | [i] | OOA Folding | |