Information on Result #610825
Linear OA(415, 30, F4, 11) (dual of [30, 15, 12]-code), using extended quadratic residue code Qe(30,4)
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(415, 30, F4, 10) (dual of [30, 15, 11]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(415, 30, F4, 9) (dual of [30, 15, 10]-code) | [i] | ||
| 3 | Linear OA(415, 30, F4, 8) (dual of [30, 15, 9]-code) | [i] | ||
| 4 | Linear OA(416, 31, F4, 11) (dual of [31, 15, 12]-code) | [i] | Code Embedding in Larger Space | |
| 5 | Linear OA(417, 32, F4, 11) (dual of [32, 15, 12]-code) | [i] | ||
| 6 | Linear OA(418, 33, F4, 11) (dual of [33, 15, 12]-code) | [i] | ||
| 7 | Linear OA(414, 29, F4, 10) (dual of [29, 15, 11]-code) | [i] | Truncation | |
| 8 | Linear OA(413, 28, F4, 9) (dual of [28, 15, 10]-code) | [i] | ||
| 9 | Linear OA(412, 27, F4, 8) (dual of [27, 15, 9]-code) | [i] | ||
| 10 | Linear OA(411, 26, F4, 7) (dual of [26, 15, 8]-code) | [i] | ||
| 11 | Linear OA(4127, 140, F4, 59) (dual of [140, 13, 60]-code) | [i] | Repeating Each Code Word | |
| 12 | Linear OA(440, 50, F4, 23) (dual of [50, 10, 24]-code) | [i] | ||
| 13 | Linear OA(439, 48, F4, 23) (dual of [48, 9, 24]-code) | [i] | ||
| 14 | Linear OA(4101, 1054, F4, 23) (dual of [1054, 953, 24]-code) | [i] | (u, u+v)-Construction | |
| 15 | Linear OA(4118, 4126, F4, 23) (dual of [4126, 4008, 24]-code) | [i] | ||
| 16 | Linear OA(4135, 16414, F4, 23) (dual of [16414, 16279, 24]-code) | [i] | ||
| 17 | Linear OA(4152, 65566, F4, 23) (dual of [65566, 65414, 24]-code) | [i] | ||
| 18 | Linear OA(4169, 262174, F4, 23) (dual of [262174, 262005, 24]-code) | [i] | ||
| 19 | Linear OA(4186, 1048606, F4, 23) (dual of [1048606, 1048420, 24]-code) | [i] | ||
| 20 | Linear OA(4203, 4194334, F4, 23) (dual of [4194334, 4194131, 24]-code) | [i] | ||
| 21 | Linear OA(453, 95, F4, 22) (dual of [95, 42, 23]-code) | [i] | ||
| 22 | Linear OA(496, 1054, F4, 22) (dual of [1054, 958, 23]-code) | [i] | ||
| 23 | Linear OA(4128, 16414, F4, 22) (dual of [16414, 16286, 23]-code) | [i] | ||
| 24 | Linear OA(4144, 65566, F4, 22) (dual of [65566, 65422, 23]-code) | [i] | ||
| 25 | Linear OA(4160, 262174, F4, 22) (dual of [262174, 262014, 23]-code) | [i] | ||
| 26 | Linear OA(4176, 1048606, F4, 22) (dual of [1048606, 1048430, 23]-code) | [i] | ||
| 27 | Linear OA(4192, 4194334, F4, 22) (dual of [4194334, 4194142, 23]-code) | [i] | ||
| 28 | Linear OA(422, 46, F4, 11) (dual of [46, 24, 12]-code) | [i] | ||
| 29 | Linear OA(423, 48, F4, 11) (dual of [48, 25, 12]-code) | [i] | ||
| 30 | Linear OA(424, 54, F4, 11) (dual of [54, 30, 12]-code) | [i] | ||
| 31 | Linear OA(423, 49, F4, 11) (dual of [49, 26, 12]-code) | [i] | ||
| 32 | Linear OA(422, 50, F4, 11) (dual of [50, 28, 12]-code) | [i] | ||
| 33 | Linear OA(423, 57, F4, 11) (dual of [57, 34, 12]-code) | [i] | ||
| 34 | Linear OA(424, 60, F4, 11) (dual of [60, 36, 12]-code) | [i] | ||
| 35 | Linear OA(432, 99, F4, 11) (dual of [99, 67, 12]-code) | [i] | Generalized (u, u+v)-Construction | |
| 36 | Linear OA(431, 105, F4, 11) (dual of [105, 74, 12]-code) | [i] | ||
| 37 | Linear OA(432, 111, F4, 11) (dual of [111, 79, 12]-code) | [i] | ||
| 38 | Linear OA(260, 90, F2, 23) (dual of [90, 30, 24]-code) | [i] | Concatenation of Two Codes | |
| 39 | Linear OA(259, 87, F2, 23) (dual of [87, 28, 24]-code) | [i] | ||
| 40 | Linear OA(258, 84, F2, 23) (dual of [84, 26, 24]-code) | [i] | ||
| 41 | Linear OA(257, 81, F2, 23) (dual of [81, 24, 24]-code) | [i] | ||
| 42 | Linear OA(256, 78, F2, 23) (dual of [78, 22, 24]-code) | [i] | ||
| 43 | Linear OA(255, 75, F2, 23) (dual of [75, 20, 24]-code) | [i] | ||
| 44 | Linear OA(254, 72, F2, 23) (dual of [72, 18, 24]-code) | [i] | ||
| 45 | Linear OOA(290, 60, F2, 2, 35) (dual of [(60, 2), 30, 36]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 46 | Linear OOA(288, 58, F2, 2, 35) (dual of [(58, 2), 28, 36]-NRT-code) | [i] | ||
| 47 | Linear OOA(286, 56, F2, 2, 35) (dual of [(56, 2), 26, 36]-NRT-code) | [i] | ||
| 48 | Linear OOA(284, 54, F2, 2, 35) (dual of [(54, 2), 24, 36]-NRT-code) | [i] | ||
| 49 | Linear OOA(282, 52, F2, 2, 35) (dual of [(52, 2), 22, 36]-NRT-code) | [i] | ||
| 50 | Linear OOA(280, 50, F2, 2, 35) (dual of [(50, 2), 20, 36]-NRT-code) | [i] | ||
| 51 | Linear OOA(278, 48, F2, 2, 35) (dual of [(48, 2), 18, 36]-NRT-code) | [i] | ||
| 52 | Linear OOA(276, 46, F2, 2, 35) (dual of [(46, 2), 16, 36]-NRT-code) | [i] | ||
| 53 | Linear OOA(274, 44, F2, 2, 35) (dual of [(44, 2), 14, 36]-NRT-code) | [i] | ||
| 54 | Linear OOA(2150, 90, F2, 2, 59) (dual of [(90, 2), 30, 60]-NRT-code) | [i] | ||
| 55 | Linear OOA(2146, 87, F2, 2, 59) (dual of [(87, 2), 28, 60]-NRT-code) | [i] | ||
| 56 | Linear OOA(2142, 84, F2, 2, 59) (dual of [(84, 2), 26, 60]-NRT-code) | [i] | ||
| 57 | Linear OOA(2138, 81, F2, 2, 59) (dual of [(81, 2), 24, 60]-NRT-code) | [i] | ||
| 58 | Linear OOA(2134, 78, F2, 2, 59) (dual of [(78, 2), 22, 60]-NRT-code) | [i] | ||
| 59 | Linear OOA(2130, 75, F2, 2, 59) (dual of [(75, 2), 20, 60]-NRT-code) | [i] | ||
| 60 | Linear OOA(2126, 72, F2, 2, 59) (dual of [(72, 2), 18, 60]-NRT-code) | [i] | ||
| 61 | Linear OOA(2122, 69, F2, 2, 59) (dual of [(69, 2), 16, 60]-NRT-code) | [i] | ||
| 62 | Linear OOA(2118, 66, F2, 2, 59) (dual of [(66, 2), 14, 60]-NRT-code) | [i] | ||
| 63 | Linear OOA(2134, 52, F2, 3, 59) (dual of [(52, 3), 22, 60]-NRT-code) | [i] | ||
| 64 | Linear OOA(2130, 50, F2, 3, 59) (dual of [(50, 3), 20, 60]-NRT-code) | [i] | ||
| 65 | Linear OOA(2126, 48, F2, 3, 59) (dual of [(48, 3), 18, 60]-NRT-code) | [i] | ||
| 66 | Linear OOA(2122, 46, F2, 3, 59) (dual of [(46, 3), 16, 60]-NRT-code) | [i] | ||
| 67 | Linear OOA(2219, 81, F2, 3, 95) (dual of [(81, 3), 24, 96]-NRT-code) | [i] | ||
| 68 | Linear OOA(2212, 78, F2, 3, 95) (dual of [(78, 3), 22, 96]-NRT-code) | [i] | ||
| 69 | Linear OOA(2205, 75, F2, 3, 95) (dual of [(75, 3), 20, 96]-NRT-code) | [i] | ||
| 70 | Linear OOA(2198, 72, F2, 3, 95) (dual of [(72, 3), 18, 96]-NRT-code) | [i] | ||
| 71 | Linear OOA(2191, 69, F2, 3, 95) (dual of [(69, 3), 16, 96]-NRT-code) | [i] | ||
| 72 | Linear OA(450, 75, F4, 23) (dual of [75, 25, 24]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 73 | Linear OA(451, 78, F4, 23) (dual of [78, 27, 24]-code) | [i] | ||
| 74 | Linear OA(452, 80, F4, 23) (dual of [80, 28, 24]-code) | [i] | ||
| 75 | Linear OA(453, 82, F4, 23) (dual of [82, 29, 24]-code) | [i] | ||
| 76 | Linear OA(428, 84, F4, 11) (dual of [84, 56, 12]-code) | [i] | ||
| 77 | Linear OA(429, 90, F4, 11) (dual of [90, 61, 12]-code) | [i] | ||
| 78 | Linear OA(471, 90, F4, 38) (dual of [90, 19, 39]-code) | [i] | Construction X with Cyclic Codes | |
| 79 | Linear OA(458, 93, F4, 25) (dual of [93, 35, 26]-code) | [i] | ||
| 80 | Linear OA(471, 91, F4, 38) (dual of [91, 20, 39]-code) | [i] | Construction XX with Cyclic Codes | |
| 81 | Linear OA(471, 88, F4, 39) (dual of [88, 17, 40]-code) | [i] | ||
| 82 | Linear OA(463, 101, F4, 26) (dual of [101, 38, 27]-code) | [i] | ||
| 83 | Linear OA(4215, 286, F4, 102) (dual of [286, 71, 103]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 84 | Linear OA(4208, 218, F4, 142) (dual of [218, 10, 143]-code) | [i] | ||
| 85 | Linear OA(459, 92, F4, 26) (dual of [92, 33, 27]-code) | [i] | ||
| 86 | Linear OA(459, 94, F4, 25) (dual of [94, 35, 26]-code) | [i] | ||
| 87 | Linear OA(4209, 219, F4, 143) (dual of [219, 10, 144]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 88 | Linear OA(483, 91, F4, 56) (dual of [91, 8, 57]-code) | [i] | ||
| 89 | Linear OA(461, 96, F4, 26) (dual of [96, 35, 27]-code) | [i] | ||
| 90 | Linear OA(460, 94, F4, 26) (dual of [94, 34, 27]-code) | [i] | ||
| 91 | Linear OOA(415, 15, F4, 2, 11) (dual of [(15, 2), 15, 12]-NRT-code) | [i] | OOA Folding | |
| 92 | Linear OOA(415, 10, F4, 3, 11) (dual of [(10, 3), 15, 12]-NRT-code) | [i] | ||