Information on Result #684823
Linear OA(760, 16831, F7, 13) (dual of [16831, 16771, 14]-code), using construction X applied to Ce(12) ⊂ Ce(8) based on
- linear OA(756, 16807, F7, 13) (dual of [16807, 16751, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(736, 16807, F7, 9) (dual of [16807, 16771, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(74, 24, F7, 3) (dual of [24, 20, 4]-code or 24-cap in PG(3,7)), 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(760, 16831, F7, 2, 13) (dual of [(16831, 2), 33602, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(760, 16831, F7, 3, 13) (dual of [(16831, 3), 50433, 14]-NRT-code) | [i] | ||
| 3 | Digital (47, 60, 16831)-net over F7 | [i] | ||
| 4 | Linear OOA(760, 8415, F7, 2, 13) (dual of [(8415, 2), 16770, 14]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(760, 5610, F7, 3, 13) (dual of [(5610, 3), 16770, 14]-NRT-code) | [i] | ||
| 6 | Linear OOA(760, 2805, F7, 13, 13) (dual of [(2805, 13), 36405, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |