Information on Result #692094
Linear OA(1629, 4103, F16, 10) (dual of [4103, 4074, 11]-code), using construction X applied to Ce(9) ⊂ Ce(7) based on
- linear OA(1628, 4096, F16, 10) (dual of [4096, 4068, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(1622, 4096, F16, 8) (dual of [4096, 4074, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(161, 7, F16, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, s, F16, 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(1629, 4103, F16, 2, 10) (dual of [(4103, 2), 8177, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (19, 29, 4103)-net over F16 | [i] | ||
| 3 | Linear OA(1630, 4120, F16, 10) (dual of [4120, 4090, 11]-code) | [i] | Varšamov–Edel Lengthening | |
| 4 | Linear OA(1631, 4327, F16, 10) (dual of [4327, 4296, 11]-code) | [i] | ||
| 5 | Linear OA(1632, 5346, F16, 10) (dual of [5346, 5314, 11]-code) | [i] | ||
| 6 | Linear OOA(1629, 2051, F16, 2, 10) (dual of [(2051, 2), 4073, 11]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(1629, 820, F16, 10, 10) (dual of [(820, 10), 8171, 11]-NRT-code) | [i] | OA Folding and Stacking | |