Information on Result #681955
Linear OA(443, 63, F4, 25) (dual of [63, 20, 26]-code), using contraction based on linear OA(4169, 189, F4, 77) (dual of [189, 20, 78]-code), using the narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [1,77], and designed minimum distance d ≥ |I|+1 = 78 [i]
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(443, 63, F4, 24) (dual of [63, 20, 25]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4106, 126, F4, 51) (dual of [126, 20, 52]-code) | [i] | Repeating Each Code Word | |
| 3 | Linear OA(4105, 124, F4, 51) (dual of [124, 19, 52]-code) | [i] | ||
| 4 | Linear OA(4104, 122, F4, 51) (dual of [122, 18, 52]-code) | [i] | ||
| 5 | Linear OA(4103, 120, F4, 51) (dual of [120, 17, 52]-code) | [i] | ||
| 6 | Linear OA(4102, 118, F4, 51) (dual of [118, 16, 52]-code) | [i] | ||
| 7 | Linear OA(4101, 116, F4, 51) (dual of [116, 15, 52]-code) | [i] | ||
| 8 | Linear OA(4100, 114, F4, 51) (dual of [114, 14, 52]-code) | [i] | ||
| 9 | Linear OA(499, 112, F4, 51) (dual of [112, 13, 52]-code) | [i] | ||
| 10 | Linear OA(498, 110, F4, 51) (dual of [110, 12, 52]-code) | [i] | ||
| 11 | Linear OA(2149, 189, F2, 51) (dual of [189, 40, 52]-code) | [i] | Concatenation of Two Codes | |
| 12 | Linear OA(2148, 186, F2, 51) (dual of [186, 38, 52]-code) | [i] | ||
| 13 | Linear OA(2147, 183, F2, 51) (dual of [183, 36, 52]-code) | [i] | ||
| 14 | Linear OA(2146, 180, F2, 51) (dual of [180, 34, 52]-code) | [i] | ||
| 15 | Linear OA(2145, 177, F2, 51) (dual of [177, 32, 52]-code) | [i] | ||
| 16 | Linear OA(2144, 174, F2, 51) (dual of [174, 30, 52]-code) | [i] | ||
| 17 | Linear OA(2143, 171, F2, 51) (dual of [171, 28, 52]-code) | [i] | ||
| 18 | Linear OA(2142, 168, F2, 51) (dual of [168, 26, 52]-code) | [i] | ||
| 19 | Linear OA(2141, 165, F2, 51) (dual of [165, 24, 52]-code) | [i] | ||
| 20 | Linear OA(445, 68, F4, 25) (dual of [68, 23, 26]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 21 | Linear OA(453, 73, F4, 29) (dual of [73, 20, 30]-code) | [i] | ✔ | |
| 22 | Linear OA(447, 73, F4, 25) (dual of [73, 26, 26]-code) | [i] | ✔ | |
| 23 | Linear OA(449, 76, F4, 25) (dual of [76, 27, 26]-code) | [i] | ✔ | |
| 24 | Linear OA(447, 74, F4, 24) (dual of [74, 27, 25]-code) | [i] | ✔ | |
| 25 | Linear OA(456, 76, F4, 30) (dual of [76, 20, 31]-code) | [i] | ✔ | |
| 26 | Linear OA(448, 68, F4, 27) (dual of [68, 20, 28]-code) | [i] | ✔ | |
| 27 | Linear OA(471, 91, F4, 38) (dual of [91, 20, 39]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 28 | Linear OA(459, 79, F4, 31) (dual of [79, 20, 32]-code) | [i] | ✔ | |
| 29 | Linear OA(454, 74, F4, 30) (dual of [74, 20, 31]-code) | [i] | ✔ | |
| 30 | Linear OA(451, 71, F4, 28) (dual of [71, 20, 29]-code) | [i] | ✔ | |
| 31 | Linear OA(447, 67, F4, 27) (dual of [67, 20, 28]-code) | [i] | ✔ | |
| 32 | Linear OA(450, 77, F4, 26) (dual of [77, 27, 27]-code) | [i] | ✔ | |
| 33 | Linear OA(448, 74, F4, 26) (dual of [74, 26, 27]-code) | [i] | ✔ | |
| 34 | Linear OA(445, 71, F4, 24) (dual of [71, 26, 25]-code) | [i] | ✔ | |
| 35 | Linear OA(446, 69, F4, 26) (dual of [69, 23, 27]-code) | [i] | ✔ | |
| 36 | Linear OA(456, 77, F4, 29) (dual of [77, 21, 30]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 37 | Linear OA(448, 75, F4, 25) (dual of [75, 27, 26]-code) | [i] | ✔ | |
| 38 | Linear OA(445, 72, F4, 23) (dual of [72, 27, 24]-code) | [i] | ✔ | |
| 39 | Linear OA(460, 80, F4, 31) (dual of [80, 20, 32]-code) | [i] | ✔ | |
| 40 | Linear OA(455, 75, F4, 30) (dual of [75, 20, 31]-code) | [i] | ✔ | |
| 41 | Linear OOA(443, 31, F4, 2, 25) (dual of [(31, 2), 19, 26]-NRT-code) | [i] | OOA Folding | |
| 42 | Linear OOA(443, 21, F4, 3, 25) (dual of [(21, 3), 20, 26]-NRT-code) | [i] | ||