Information on Result #684767
Linear OA(7107, 16818, F7, 25) (dual of [16818, 16711, 26]-code), using construction X applied to Ce(24) ⊂ Ce(22) based on
- linear OA(7106, 16807, F7, 25) (dual of [16807, 16701, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(796, 16807, F7, 23) (dual of [16807, 16711, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(71, 11, F7, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, s, F7, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(7107, 12320, F7, 2, 25) (dual of [(12320, 2), 24533, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(7107, 12320, F7, 3, 25) (dual of [(12320, 3), 36853, 26]-NRT-code) | [i] | ||
| 3 | Digital (82, 107, 12320)-net over F7 | [i] | ||
| 4 | Linear OOA(7107, 8409, F7, 2, 25) (dual of [(8409, 2), 16711, 26]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(7107, 5606, F7, 3, 25) (dual of [(5606, 3), 16711, 26]-NRT-code) | [i] | ||
| 6 | Linear OOA(7107, 1401, F7, 25, 25) (dual of [(1401, 25), 34918, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |