Information on Result #1008806
Linear OOA(4231, large, F4, 3, 20), using trace code based on linear OOA(6477, 2796201, F64, 3, 20) (dual of [(2796201, 3), 8388526, 21]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6477, large, F64, 20) (dual of [large, large−77, 21]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(4231, large, F4, 3, 19) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4231, large, F4, 3, 18) | [i] | ||
| 3 | Linear OOA(4231, large, F4, 3, 17) | [i] | ||
| 4 | Linear OOA(4231, large, F4, 3, 16) | [i] | ||
| 5 | Linear OOA(4231, large, F4, 3, 15) | [i] | ||
| 6 | Linear OOA(4231, large, F4, 3, 14) | [i] | ||
| 7 | Linear OOA(4231, large, F4, 3, 13) | [i] | ||
| 8 | Linear OOA(4231, large, F4, 3, 12) | [i] | ||
| 9 | Linear OOA(4231, large, F4, 3, 11) | [i] | ||
| 10 | Linear OOA(4231, large, F4, 3, 10) | [i] | ||
| 11 | Linear OOA(4231, large, F4, 3, 9) | [i] | ||
| 12 | Linear OOA(4231, large, F4, 3, 8) | [i] | ||
| 13 | Linear OOA(4231, large, F4, 3, 7) | [i] | ||
| 14 | Linear OOA(4231, large, F4, 3, 6) | [i] | ||
| 15 | Linear OOA(4231, large, F4, 3, 5) | [i] | ||
| 16 | Linear OOA(4231, large, F4, 3, 4) | [i] | ||
| 17 | Linear OOA(4231, large, F4, 3, 3) | [i] | ||
| 18 | Linear OOA(4234, large, F4, 3, 20) | [i] | NRT-Code Embedding in Larger Space | |
| 19 | Linear OOA(4237, large, F4, 3, 20) | [i] | ||
| 20 | Linear OOA(4240, large, F4, 3, 20) | [i] | ||
| 21 | Linear OOA(4246, large, F4, 3, 20) | [i] | ||
| 22 | Linear OOA(4249, large, F4, 3, 20) | [i] | ||
| 23 | Linear OOA(4252, large, F4, 3, 20) | [i] | ||
| 24 | Linear OOA(4258, large, F4, 3, 20) | [i] | ||
| 25 | Linear OOA(4232, large, F4, 3, 20) | [i] | OOA Duplication | |
| 26 | Linear OOA(4233, large, F4, 3, 20) | [i] | ||
| 27 | Linear OOA(4231, 2097150, F4, 27, 20) (dual of [(2097150, 27), 56622819, 21]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |