Information on Result #1008662
Linear OOA(2243, large, F2, 3, 12), using trace code based on linear OOA(881, 2796201, F8, 3, 12) (dual of [(2796201, 3), 8388522, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(881, large, F8, 12) (dual of [large, large−81, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 88−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [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(2243, large, F2, 3, 11) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2243, large, F2, 3, 10) | [i] | ||
| 3 | Linear OOA(2243, large, F2, 3, 9) | [i] | ||
| 4 | Linear OOA(2243, large, F2, 3, 8) | [i] | ||
| 5 | Linear OOA(2243, large, F2, 3, 7) | [i] | ||
| 6 | Linear OOA(2243, large, F2, 3, 6) | [i] | ||
| 7 | Linear OOA(2243, large, F2, 3, 5) | [i] | ||
| 8 | Linear OOA(2243, large, F2, 3, 4) | [i] | ||
| 9 | Linear OOA(2243, large, F2, 3, 3) | [i] | ||
| 10 | Linear OOA(2246, large, F2, 3, 12) | [i] | NRT-Code Embedding in Larger Space | |
| 11 | Linear OOA(2249, large, F2, 3, 12) | [i] | ||
| 12 | Linear OOA(2252, large, F2, 3, 12) | [i] | ||
| 13 | Linear OOA(2255, large, F2, 3, 12) | [i] | ||
| 14 | Linear OOA(2258, large, F2, 3, 12) | [i] | ||
| 15 | Linear OOA(2244, large, F2, 3, 12) | [i] | OOA Duplication | |
| 16 | Linear OOA(2245, large, F2, 3, 12) | [i] | ||
| 17 | Linear OOA(2243, 4194301, F2, 5, 12) (dual of [(4194301, 5), 20971262, 13]-NRT-code) | [i] | OOA Folding | |
| 18 | Linear OOA(2243, 4194301, F2, 6, 12) (dual of [(4194301, 6), 25165563, 13]-NRT-code) | [i] | ||
| 19 | Linear OOA(2243, 4194301, F2, 7, 12) (dual of [(4194301, 7), 29359864, 13]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 20 | Linear OOA(2243, 4194301, F2, 8, 12) (dual of [(4194301, 8), 33554165, 13]-NRT-code) | [i] | ||
| 21 | Linear OOA(2243, 4194301, F2, 15, 12) (dual of [(4194301, 15), 62914272, 13]-NRT-code) | [i] | ||