Information on Result #692065
Linear OA(1619, 4099, F16, 7) (dual of [4099, 4080, 8]-code), using construction X applied to Ce(6) ⊂ Ce(5) based on
- linear OA(1619, 4096, F16, 7) (dual of [4096, 4077, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(1616, 4096, F16, 6) (dual of [4096, 4080, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(160, 3, F16, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 0) (dual of [s, s, 1]-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 OA(1622, 4117, F16, 7) (dual of [4117, 4095, 8]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(1623, 4356, F16, 7) (dual of [4356, 4333, 8]-code) | [i] | ||
| 3 | Linear OA(1624, 4728, F16, 7) (dual of [4728, 4704, 8]-code) | [i] | ||
| 4 | Linear OA(1620, 4110, F16, 7) (dual of [4110, 4090, 8]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(1621, 4260, F16, 7) (dual of [4260, 4239, 8]-code) | [i] | ||
| 6 | Linear OA(1622, 5385, F16, 7) (dual of [5385, 5363, 8]-code) | [i] | ||
| 7 | Linear OOA(1619, 2049, F16, 2, 7) (dual of [(2049, 2), 4079, 8]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(1619, 1366, F16, 7, 7) (dual of [(1366, 7), 9543, 8]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |