Information on Result #606333
Linear OA(43, 4, F4, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,4) or 4-cap in PG(2,4)), using Reed–Solomon code RS(1,4)
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(428, 261, F4, 9) (dual of [261, 233, 10]-code) | [i] | Construction X with Cyclic Codes | |
| 2 | Linear OA(433, 39, F4, 18) (dual of [39, 6, 19]-code) | [i] | ||
| 3 | Linear OA(4138, 283, F4, 45) (dual of [283, 145, 46]-code) | [i] | Construction XX with a Chain of Cyclic Codes | |
| 4 | Linear OA(4136, 281, F4, 44) (dual of [281, 145, 45]-code) | [i] | ||
| 5 | Linear OA(4126, 271, F4, 43) (dual of [271, 145, 44]-code) | [i] | ||
| 6 | Linear OA(486, 271, F4, 27) (dual of [271, 185, 28]-code) | [i] | ||
| 7 | Linear OA(462, 271, F4, 19) (dual of [271, 209, 20]-code) | [i] | ||
| 8 | Linear OA(438, 271, F4, 11) (dual of [271, 233, 12]-code) | [i] | ||
| 9 | Linear OA(4260, 266, F4, 193) (dual of [266, 6, 194]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 10 | Linear OA(4259, 271, F4, 181) (dual of [271, 12, 182]-code) | [i] | ||
| 11 | Linear OA(4254, 266, F4, 177) (dual of [266, 12, 178]-code) | [i] | ||
| 12 | Linear OA(4150, 270, F4, 54) (dual of [270, 120, 55]-code) | [i] | ||
| 13 | Linear OA(4144, 264, F4, 53) (dual of [264, 120, 54]-code) | [i] | ||
| 14 | Linear OA(439, 67, F4, 19) (dual of [67, 28, 20]-code) | [i] | Construction X with Varšamov Bound | |
| 15 | Linear OA(440, 68, F4, 20) (dual of [68, 28, 21]-code) | [i] | ||
| 16 | Linear OA(446, 74, F4, 23) (dual of [74, 28, 24]-code) | [i] | ||
| 17 | Linear OA(449, 77, F4, 24) (dual of [77, 28, 25]-code) | [i] | ||
| 18 | Linear OA(459, 72, F4, 34) (dual of [72, 13, 35]-code) | [i] | ||
| 19 | Linear OA(460, 73, F4, 35) (dual of [73, 13, 36]-code) | [i] | ||
| 20 | Linear OA(487, 104, F4, 49) (dual of [104, 17, 50]-code) | [i] | ||
| 21 | Linear OA(488, 105, F4, 50) (dual of [105, 17, 51]-code) | [i] | ||
| 22 | Linear OA(4145, 262181, F4, 21) (dual of [262181, 262036, 22]-code) | [i] | ||
| 23 | Linear OA(4160, 1048616, F4, 21) (dual of [1048616, 1048456, 22]-code) | [i] | ||
| 24 | Linear OA(4175, 4194347, F4, 21) (dual of [4194347, 4194172, 22]-code) | [i] | ||
| 25 | Linear OA(4176, 258, F4, 82) (dual of [258, 82, 83]-code) | [i] | ||
| 26 | Linear OA(4177, 259, F4, 83) (dual of [259, 82, 84]-code) | [i] | ||
| 27 | Linear OA(4183, 262192, F4, 26) (dual of [262192, 262009, 27]-code) | [i] | ||
| 28 | Linear OA(4185, 267, F4, 87) (dual of [267, 82, 88]-code) | [i] | ||
| 29 | Linear OA(4188, 65580, F4, 30) (dual of [65580, 65392, 31]-code) | [i] | ||
| 30 | Linear OA(4190, 1048616, F4, 25) (dual of [1048616, 1048426, 26]-code) | [i] | ||
| 31 | Linear OA(4203, 1048629, F4, 26) (dual of [1048629, 1048426, 27]-code) | [i] | ||
| 32 | Linear OA(4210, 262192, F4, 30) (dual of [262192, 261982, 31]-code) | [i] | ||
| 33 | Linear OA(4212, 65580, F4, 34) (dual of [65580, 65368, 35]-code) | [i] | ||
| 34 | Linear OA(4215, 1048641, F4, 27) (dual of [1048641, 1048426, 28]-code) | [i] | ||
| 35 | Linear OA(4222, 4194361, F4, 26) (dual of [4194361, 4194139, 27]-code) | [i] | ||
| 36 | Linear OA(4227, 4194377, F4, 26) (dual of [4194377, 4194150, 27]-code) | [i] | ||
| 37 | Linear OA(4233, 1048629, F4, 30) (dual of [1048629, 1048396, 31]-code) | [i] | ||
| 38 | Linear OA(4236, 65580, F4, 38) (dual of [65580, 65344, 39]-code) | [i] | ||
| 39 | Linear OA(4237, 262192, F4, 34) (dual of [262192, 261955, 35]-code) | [i] | ||
| 40 | Linear OA(4245, 1048641, F4, 31) (dual of [1048641, 1048396, 32]-code) | [i] | ||
| 41 | Linear OA(4249, 262204, F4, 35) (dual of [262204, 261955, 36]-code) | [i] | ||
| 42 | Linear OA(4249, 4194377, F4, 29) (dual of [4194377, 4194128, 30]-code) | [i] | ||
| 43 | Linear OA(4260, 315, F4, 137) (dual of [315, 55, 138]-code) | [i] | ||
| 44 | Linear OA(4260, 65580, F4, 42) (dual of [65580, 65320, 43]-code) | [i] | ||
| 45 | Linear OA(4260, 4194377, F4, 30) (dual of [4194377, 4194117, 31]-code) | [i] | ||
| 46 | Linear OA(467, 90, F4, 35) (dual of [90, 23, 36]-code) | [i] | ||
| 47 | Linear OA(468, 88, F4, 37) (dual of [88, 20, 38]-code) | [i] | ||
| 48 | Linear OA(4113, 135, F4, 63) (dual of [135, 22, 64]-code) | [i] | ||
| 49 | Linear OA(464, 91, F4, 33) (dual of [91, 27, 34]-code) | [i] | ||
| 50 | Linear OA(488, 118, F4, 45) (dual of [118, 30, 46]-code) | [i] | ||
| 51 | Linear OA(4113, 142, F4, 60) (dual of [142, 29, 61]-code) | [i] | ||
| 52 | Linear OA(4113, 145, F4, 59) (dual of [145, 32, 60]-code) | [i] | ||
| 53 | Linear OA(4114, 143, F4, 61) (dual of [143, 29, 62]-code) | [i] | ||
| 54 | Linear OA(460, 95, F4, 29) (dual of [95, 35, 30]-code) | [i] | ||
| 55 | Linear OA(4230, 1048656, F4, 29) (dual of [1048656, 1048426, 30]-code) | [i] | ||
| 56 | Linear OA(4236, 262219, F4, 33) (dual of [262219, 261983, 34]-code) | [i] | ||
| 57 | Linear OA(4251, 4194390, F4, 29) (dual of [4194390, 4194139, 30]-code) | [i] | ||
| 58 | Linear OA(4260, 1048657, F4, 33) (dual of [1048657, 1048397, 34]-code) | [i] | ||