Information on Result #681926
Linear OA(437, 63, F4, 21) (dual of [63, 26, 22]-code), using contraction based on linear OA(4163, 189, F4, 65) (dual of [189, 26, 66]-code), using the expurgated narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [0,62], and minimum distance d ≥ |{−2,−1,…,62}|+1 = 66 (BCH-bound) [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
- Contraction (with Narrow-Sense BCH-Code) (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
- Primitive Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(498, 122, F4, 43) (dual of [122, 24, 44]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(497, 120, F4, 43) (dual of [120, 23, 44]-code) | [i] | ||
| 3 | Linear OA(496, 118, F4, 43) (dual of [118, 22, 44]-code) | [i] | ||
| 4 | Linear OA(495, 116, F4, 43) (dual of [116, 21, 44]-code) | [i] | ||
| 5 | Linear OA(494, 114, F4, 43) (dual of [114, 20, 44]-code) | [i] | ||
| 6 | Linear OA(493, 112, F4, 43) (dual of [112, 19, 44]-code) | [i] | ||
| 7 | Linear OA(492, 110, F4, 43) (dual of [110, 18, 44]-code) | [i] | ||
| 8 | Linear OA(4147, 165, F4, 65) (dual of [165, 18, 66]-code) | [i] | ||
| 9 | Linear OA(491, 108, F4, 43) (dual of [108, 17, 44]-code) | [i] | ||
| 10 | Linear OA(4145, 162, F4, 65) (dual of [162, 17, 66]-code) | [i] | ||
| 11 | Linear OA(490, 106, F4, 43) (dual of [106, 16, 44]-code) | [i] | ||
| 12 | Linear OA(489, 104, F4, 43) (dual of [104, 15, 44]-code) | [i] | ||
| 13 | Linear OA(488, 102, F4, 43) (dual of [102, 14, 44]-code) | [i] | ||
| 14 | Linear OA(4133, 144, F4, 65) (dual of [144, 11, 66]-code) | [i] | ||
| 15 | Linear OA(2137, 189, F2, 43) (dual of [189, 52, 44]-code) | [i] | Concatenation of Two Codes | |
| 16 | Linear OA(2136, 186, F2, 43) (dual of [186, 50, 44]-code) | [i] | ||
| 17 | Linear OA(2135, 183, F2, 43) (dual of [183, 48, 44]-code) | [i] | ||
| 18 | Linear OA(442, 68, F4, 23) (dual of [68, 26, 24]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 19 | Linear OA(450, 76, F4, 26) (dual of [76, 26, 27]-code) | [i] | ✔ | |
| 20 | Linear OA(448, 74, F4, 25) (dual of [74, 26, 26]-code) | [i] | ✔ | |
| 21 | Linear OA(455, 81, F4, 27) (dual of [81, 26, 28]-code) | [i] | ✔ | |
| 22 | Linear OA(455, 82, F4, 27) (dual of [82, 27, 28]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 23 | Linear OA(450, 77, F4, 26) (dual of [77, 27, 27]-code) | [i] | ✔ | |
| 24 | Linear OA(442, 69, F4, 23) (dual of [69, 27, 24]-code) | [i] | ✔ | |
| 25 | Linear OA(454, 80, F4, 27) (dual of [80, 26, 28]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 26 | Linear OA(449, 75, F4, 26) (dual of [75, 26, 27]-code) | [i] | ✔ | |
| 27 | Linear OA(446, 72, F4, 24) (dual of [72, 26, 25]-code) | [i] | ✔ | |
| 28 | Linear OA(443, 70, F4, 23) (dual of [70, 27, 24]-code) | [i] | ✔ | |
| 29 | Linear OOA(437, 21, F4, 3, 21) (dual of [(21, 3), 26, 22]-NRT-code) | [i] | OOA Folding | |