Information on Result #893894
Linear OOA(4180, 8388602, F4, 2, 16) (dual of [(8388602, 2), 16777024, 17]-NRT-code), using trace code based on linear OOA(1690, 4194301, F16, 2, 16) (dual of [(4194301, 2), 8388512, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(1690, 8388602, F16, 16) (dual of [8388602, 8388512, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(1690, large, F16, 16) (dual of [large, large−90, 17]-code), using
- the primitive narrow-sense BCH-code C(I) with length 16777215 = 166−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(1690, large, F16, 16) (dual of [large, large−90, 17]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, 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(4182, large, F4, 2, 16) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(4184, large, F4, 2, 16) | [i] | ||
| 3 | Linear OOA(4186, large, F4, 2, 16) | [i] | ||
| 4 | Linear OOA(4188, large, F4, 2, 16) | [i] | ||
| 5 | Linear OOA(4190, large, F4, 2, 16) | [i] | ||
| 6 | Linear OOA(4192, large, F4, 2, 16) | [i] | ||
| 7 | Linear OOA(4194, large, F4, 2, 16) | [i] | ||
| 8 | Linear OOA(4196, large, F4, 2, 16) | [i] | ||
| 9 | Linear OOA(4198, large, F4, 2, 16) | [i] | ||
| 10 | Linear OOA(4200, large, F4, 2, 16) | [i] | ||
| 11 | Linear OOA(4202, large, F4, 2, 16) | [i] | ||
| 12 | Linear OOA(4204, large, F4, 2, 16) | [i] | ||
| 13 | Linear OOA(4206, large, F4, 2, 16) | [i] | ||
| 14 | Linear OOA(4208, large, F4, 2, 16) | [i] | ||
| 15 | Linear OOA(4210, large, F4, 2, 16) | [i] | ||
| 16 | Linear OOA(4212, large, F4, 2, 16) | [i] | ||
| 17 | Linear OOA(4214, large, F4, 2, 16) | [i] | ||
| 18 | Linear OOA(4216, large, F4, 2, 16) | [i] | ||
| 19 | Linear OOA(4218, large, F4, 2, 16) | [i] | ||
| 20 | Linear OOA(4220, large, F4, 2, 16) | [i] | ||
| 21 | Linear OOA(4222, large, F4, 2, 16) | [i] | ||
| 22 | Linear OOA(4224, large, F4, 2, 16) | [i] | ||
| 23 | Linear OOA(4226, large, F4, 2, 16) | [i] | ||
| 24 | Linear OOA(4228, large, F4, 2, 16) | [i] | ||
| 25 | Linear OOA(4230, large, F4, 2, 16) | [i] | ||
| 26 | Linear OOA(4232, large, F4, 2, 16) | [i] | ||
| 27 | Linear OOA(4234, large, F4, 2, 16) | [i] | ||
| 28 | Linear OOA(4236, large, F4, 2, 16) | [i] | ||
| 29 | Linear OOA(4238, large, F4, 2, 16) | [i] | ||
| 30 | Linear OOA(4240, large, F4, 2, 16) | [i] | ||
| 31 | Linear OOA(4242, large, F4, 2, 16) | [i] | ||
| 32 | Linear OOA(4244, large, F4, 2, 16) | [i] | ||
| 33 | Linear OOA(4246, large, F4, 2, 16) | [i] | ||
| 34 | Linear OOA(4248, large, F4, 2, 16) | [i] | ||
| 35 | Linear OOA(4250, large, F4, 2, 16) | [i] | ||
| 36 | Linear OOA(4252, large, F4, 2, 16) | [i] | ||
| 37 | Linear OOA(4254, large, F4, 2, 16) | [i] | ||
| 38 | Linear OOA(4256, large, F4, 2, 16) | [i] | ||
| 39 | Linear OOA(4258, large, F4, 2, 16) | [i] | ||
| 40 | Linear OOA(4260, large, F4, 2, 16) | [i] | ||
| 41 | Linear OOA(4181, 8388602, F4, 2, 16) (dual of [(8388602, 2), 16777023, 17]-NRT-code) | [i] | OOA Duplication | |
| 42 | Linear OOA(4180, 4194301, F4, 3, 16) (dual of [(4194301, 3), 12582723, 17]-NRT-code) | [i] | OOA Folding | |
| 43 | Linear OOA(4180, 2097150, F4, 18, 16) (dual of [(2097150, 18), 37748520, 17]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |