Information on Result #894017
Linear OOA(8114, 8388602, F8, 2, 15) (dual of [(8388602, 2), 16777090, 16]-NRT-code), using trace code based on linear OOA(6457, 4194301, F64, 2, 15) (dual of [(4194301, 2), 8388545, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6457, 8388602, F64, 15) (dual of [8388602, 8388545, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(6457, large, F64, 15) (dual of [large, large−57, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(6457, large, F64, 15) (dual of [large, large−57, 16]-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(8116, large, F8, 2, 15) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(8118, large, F8, 2, 15) | [i] | ||
| 3 | Linear OOA(8120, large, F8, 2, 15) | [i] | ||
| 4 | Linear OOA(8122, large, F8, 2, 15) | [i] | ||
| 5 | Linear OOA(8124, large, F8, 2, 15) | [i] | ||
| 6 | Linear OOA(8126, large, F8, 2, 15) | [i] | ||
| 7 | Linear OOA(8128, large, F8, 2, 15) | [i] | ||
| 8 | Linear OOA(8130, large, F8, 2, 15) | [i] | ||
| 9 | Linear OOA(8132, large, F8, 2, 15) | [i] | ||
| 10 | Linear OOA(8134, large, F8, 2, 15) | [i] | ||
| 11 | Linear OOA(8136, large, F8, 2, 15) | [i] | ||
| 12 | Linear OOA(8138, large, F8, 2, 15) | [i] | ||
| 13 | Linear OOA(8140, large, F8, 2, 15) | [i] | ||
| 14 | Linear OOA(8142, large, F8, 2, 15) | [i] | ||
| 15 | Linear OOA(8144, large, F8, 2, 15) | [i] | ||
| 16 | Linear OOA(8146, large, F8, 2, 15) | [i] | ||
| 17 | Linear OOA(8148, large, F8, 2, 15) | [i] | ||
| 18 | Linear OOA(8150, large, F8, 2, 15) | [i] | ||
| 19 | Linear OOA(8152, large, F8, 2, 15) | [i] | ||
| 20 | Linear OOA(8154, large, F8, 2, 15) | [i] | ||
| 21 | Linear OOA(8156, large, F8, 2, 15) | [i] | ||
| 22 | Linear OOA(8158, large, F8, 2, 15) | [i] | ||
| 23 | Linear OOA(8160, large, F8, 2, 15) | [i] | ||
| 24 | Linear OOA(8162, large, F8, 2, 15) | [i] | ||
| 25 | Linear OOA(8164, large, F8, 2, 15) | [i] | ||
| 26 | Linear OOA(8166, large, F8, 2, 15) | [i] | ||
| 27 | Linear OOA(8168, large, F8, 2, 15) | [i] | ||
| 28 | Linear OOA(8170, large, F8, 2, 15) | [i] | ||
| 29 | Linear OOA(8172, large, F8, 2, 15) | [i] | ||
| 30 | Linear OOA(8115, 8388602, F8, 2, 15) (dual of [(8388602, 2), 16777089, 16]-NRT-code) | [i] | OOA Duplication | |
| 31 | Linear OOA(8114, 4194301, F8, 3, 15) (dual of [(4194301, 3), 12582789, 16]-NRT-code) | [i] | OOA Folding | |
| 32 | Linear OOA(8114, 2097150, F8, 18, 15) (dual of [(2097150, 18), 37748586, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |