Information on Result #880053
Linear OOA(25637, 4194301, F256, 2, 13) (dual of [(4194301, 2), 8388565, 14]-NRT-code), using OOA 2-folding based on linear OA(25637, 8388602, F256, 13) (dual of [8388602, 8388565, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(25637, large, F256, 13) (dual of [large, large−37, 14]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [i]
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(25639, 4194302, F256, 2, 13) (dual of [(4194302, 2), 8388565, 14]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(25641, 4194303, F256, 2, 13) (dual of [(4194303, 2), 8388565, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(25638, 4194301, F256, 2, 13) (dual of [(4194301, 2), 8388564, 14]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(1674, 8388602, F16, 2, 13) (dual of [(8388602, 2), 16777130, 14]-NRT-code) | [i] | Trace Code for OOAs | |
| 5 | Linear OOA(25643, 4194558, F256, 2, 13) (dual of [(4194558, 2), 8389073, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(25644, 4194559, F256, 2, 13) (dual of [(4194559, 2), 8389074, 14]-NRT-code) | [i] | ||
| 7 | Linear OOA(25645, 4194560, F256, 2, 13) (dual of [(4194560, 2), 8389075, 14]-NRT-code) | [i] | ||
| 8 | Linear OOA(25646, 4194815, F256, 2, 13) (dual of [(4194815, 2), 8389584, 14]-NRT-code) | [i] | ||
| 9 | Linear OOA(25647, 4194943, F256, 2, 13) (dual of [(4194943, 2), 8389839, 14]-NRT-code) | [i] | ||
| 10 | Linear OOA(25648, 4227070, F256, 2, 13) (dual of [(4227070, 2), 8454092, 14]-NRT-code) | [i] | ||
| 11 | Linear OOA(25649, 4227071, F256, 2, 13) (dual of [(4227071, 2), 8454093, 14]-NRT-code) | [i] | ||
| 12 | Linear OOA(25650, 4227073, F256, 2, 13) (dual of [(4227073, 2), 8454096, 14]-NRT-code) | [i] | ||
| 13 | Linear OOA(25651, 4227327, F256, 2, 13) (dual of [(4227327, 2), 8454603, 14]-NRT-code) | [i] | ||
| 14 | Linear OOA(25652, 4259839, F256, 2, 13) (dual of [(4259839, 2), 8519626, 14]-NRT-code) | [i] | ||
| 15 | Linear OOA(25653, 8388602, F256, 2, 13) (dual of [(8388602, 2), 16777151, 14]-NRT-code) | [i] | ||
| 16 | Linear OOA(25651, 4260093, F256, 2, 13) (dual of [(4260093, 2), 8520135, 14]-NRT-code) | [i] | ||
| 17 | Linear OOA(25652, 4260094, F256, 2, 13) (dual of [(4260094, 2), 8520136, 14]-NRT-code) | [i] | ||
| 18 | Linear OOA(25637, 4194301, F256, 3, 13) (dual of [(4194301, 3), 12582866, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 19 | Linear OOA(25637, 4194301, F256, 4, 13) (dual of [(4194301, 4), 16777167, 14]-NRT-code) | [i] | ||
| 20 | Linear OOA(25637, 4194301, F256, 5, 13) (dual of [(4194301, 5), 20971468, 14]-NRT-code) | [i] | ||
| 21 | Linear OOA(25637, 4194301, F256, 6, 13) (dual of [(4194301, 6), 25165769, 14]-NRT-code) | [i] | ||
| 22 | Digital (24, 37, 4194301)-net over F256 | [i] | ||