Information on Result #701011
Linear OA(436, 63, F4, 20) (dual of [63, 27, 21]-code), using the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 21
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(436, 63, F4, 19) (dual of [63, 27, 20]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(436, 63, F4, 18) (dual of [63, 27, 19]-code) | [i] | ||
| 3 | Linear OA(436, 63, F4, 17) (dual of [63, 27, 18]-code) | [i] | ||
| 4 | Linear OA(496, 120, F4, 41) (dual of [120, 24, 42]-code) | [i] | Repeating Each Code Word | |
| 5 | Linear OA(495, 118, F4, 41) (dual of [118, 23, 42]-code) | [i] | ||
| 6 | Linear OA(494, 116, F4, 41) (dual of [116, 22, 42]-code) | [i] | ||
| 7 | Linear OA(493, 114, F4, 41) (dual of [114, 21, 42]-code) | [i] | ||
| 8 | Linear OA(492, 112, F4, 41) (dual of [112, 20, 42]-code) | [i] | ||
| 9 | Linear OA(491, 110, F4, 41) (dual of [110, 19, 42]-code) | [i] | ||
| 10 | Linear OA(490, 108, F4, 41) (dual of [108, 18, 42]-code) | [i] | ||
| 11 | Linear OA(4144, 162, F4, 62) (dual of [162, 18, 63]-code) | [i] | ||
| 12 | Linear OA(489, 106, F4, 41) (dual of [106, 17, 42]-code) | [i] | ||
| 13 | Linear OA(4142, 159, F4, 62) (dual of [159, 17, 63]-code) | [i] | ||
| 14 | Linear OA(488, 104, F4, 41) (dual of [104, 16, 42]-code) | [i] | ||
| 15 | Linear OA(2135, 189, F2, 41) (dual of [189, 54, 42]-code) | [i] | Concatenation of Two Codes | |
| 16 | Linear OA(2134, 186, F2, 41) (dual of [186, 52, 42]-code) | [i] | ||
| 17 | Linear OA(2133, 183, F2, 41) (dual of [183, 50, 42]-code) | [i] | ||
| 18 | Linear OA(2132, 180, F2, 41) (dual of [180, 48, 42]-code) | [i] | ||
| 19 | Linear OA(446, 86, F4, 20) (dual of [86, 40, 21]-code) | [i] | Varšamov–Edel Lengthening | |
| 20 | Linear OA(446, 82, F4, 21) (dual of [82, 36, 22]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 21 | Linear OA(455, 85, F4, 24) (dual of [85, 30, 25]-code) | [i] | ✔ | |
| 22 | Linear OA(454, 83, F4, 24) (dual of [83, 29, 25]-code) | [i] | ✔ | |
| 23 | Linear OA(440, 68, F4, 20) (dual of [68, 28, 21]-code) | [i] | Construction X with Varšamov Bound | |
| 24 | Linear OA(441, 70, F4, 20) (dual of [70, 29, 21]-code) | [i] | ||
| 25 | Linear OOA(436, 31, F4, 2, 20) (dual of [(31, 2), 26, 21]-NRT-code) | [i] | OOA Folding | |
| 26 | Linear OOA(436, 21, F4, 3, 20) (dual of [(21, 3), 27, 21]-NRT-code) | [i] | ||