Information on Result #1323800
Linear OA(7103, 5764845, F7, 14) (dual of [5764845, 5764742, 15]-code), using construction X applied to Ce(14) ⊂ Ce(8) based on
- linear OA(797, 5764801, F7, 15) (dual of [5764801, 5764704, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(757, 5764801, F7, 9) (dual of [5764801, 5764744, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(76, 44, F7, 4) (dual of [44, 38, 5]-code), using
- a “GraX†code from Grassl’s database [i]
Mode: 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(7103, 5764845, F7, 2, 14) (dual of [(5764845, 2), 11529587, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(7103, 5764845, F7, 3, 14) (dual of [(5764845, 3), 17294432, 15]-NRT-code) | [i] | ||
| 3 | Digital (89, 103, 5764845)-net over F7 | [i] | ||
| 4 | Linear OOA(7103, 2882422, F7, 2, 14) (dual of [(2882422, 2), 5764741, 15]-NRT-code) | [i] | OOA Folding | |