Information on Result #684648
Linear OA(750, 117662, F7, 10) (dual of [117662, 117612, 11]-code), using construction X applied to Ce(9) ⊂ Ce(7) based on
- linear OA(749, 117649, F7, 10) (dual of [117649, 117600, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(737, 117649, F7, 8) (dual of [117649, 117612, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(71, 13, F7, 1) (dual of [13, 12, 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(750, 94134, F7, 2, 10) (dual of [(94134, 2), 188218, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(750, 94134, F7, 3, 10) (dual of [(94134, 3), 282352, 11]-NRT-code) | [i] | ||
| 3 | Digital (40, 50, 94134)-net over F7 | [i] | ||
| 4 | Linear OOA(750, 58831, F7, 2, 10) (dual of [(58831, 2), 117612, 11]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(750, 23532, F7, 10, 10) (dual of [(23532, 10), 235270, 11]-NRT-code) | [i] | OA Folding and Stacking | |