Information on Result #701014
Linear OA(438, 63, F4, 22) (dual of [63, 25, 23]-code), using the primitive cyclic code C(A) with length 63 = 43−1, defining set A = {0,1,2,3,5,6,7,9,10,14,22,26,30,42}, and minimum distance d ≥ |{0,2,4,…,42}|+1 = 23 (BCH-bound)
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 Expurgated Narrow-Sense BCH-Code) (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4101, 126, F4, 45) (dual of [126, 25, 46]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(4100, 124, F4, 45) (dual of [124, 24, 46]-code) | [i] | ||
| 3 | Linear OA(499, 122, F4, 45) (dual of [122, 23, 46]-code) | [i] | ||
| 4 | Linear OA(498, 120, F4, 45) (dual of [120, 22, 46]-code) | [i] | ||
| 5 | Linear OA(497, 118, F4, 45) (dual of [118, 21, 46]-code) | [i] | ||
| 6 | Linear OA(496, 116, F4, 45) (dual of [116, 20, 46]-code) | [i] | ||
| 7 | Linear OA(495, 114, F4, 45) (dual of [114, 19, 46]-code) | [i] | ||
| 8 | Linear OA(494, 112, F4, 45) (dual of [112, 18, 46]-code) | [i] | ||
| 9 | Linear OA(4150, 168, F4, 68) (dual of [168, 18, 69]-code) | [i] | ||
| 10 | Linear OA(493, 110, F4, 45) (dual of [110, 17, 46]-code) | [i] | ||
| 11 | Linear OA(4148, 165, F4, 68) (dual of [165, 17, 69]-code) | [i] | ||
| 12 | Linear OA(492, 108, F4, 45) (dual of [108, 16, 46]-code) | [i] | ||
| 13 | Linear OA(491, 106, F4, 45) (dual of [106, 15, 46]-code) | [i] | ||
| 14 | Linear OA(490, 104, F4, 45) (dual of [104, 14, 46]-code) | [i] | ||
| 15 | Linear OA(4136, 147, F4, 68) (dual of [147, 11, 69]-code) | [i] | ||
| 16 | Linear OA(2139, 189, F2, 45) (dual of [189, 50, 46]-code) | [i] | Concatenation of Two Codes | |
| 17 | Linear OA(2138, 186, F2, 45) (dual of [186, 48, 46]-code) | [i] | ||
| 18 | Linear OA(2137, 183, F2, 45) (dual of [183, 46, 46]-code) | [i] | ||
| 19 | Linear OA(2136, 180, F2, 45) (dual of [180, 44, 46]-code) | [i] | ||
| 20 | Linear OA(2135, 177, F2, 45) (dual of [177, 42, 46]-code) | [i] | ||
| 21 | Linear OA(2134, 174, F2, 45) (dual of [174, 40, 46]-code) | [i] | ||
| 22 | Linear OA(2133, 171, F2, 45) (dual of [171, 38, 46]-code) | [i] | ||
| 23 | Linear OA(2127, 153, F2, 45) (dual of [153, 26, 46]-code) | [i] | ||
| 24 | Linear OA(455, 93, F4, 23) (dual of [93, 38, 24]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 25 | Linear OOA(438, 21, F4, 3, 22) (dual of [(21, 3), 25, 23]-NRT-code) | [i] | OOA Folding | |