Information on Result #1453243
Linear OOA(1646, 2984, F16, 2, 16) (dual of [(2984, 2), 5922, 17]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(1646, 2984, F16, 16) (dual of [2984, 2938, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(1646, 4099, F16, 16) (dual of [4099, 4053, 17]-code), using
- 1 times truncation [i] based on linear OA(1647, 4100, F16, 17) (dual of [4100, 4053, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(14) [i] based on
- linear OA(1646, 4096, F16, 17) (dual of [4096, 4050, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(1643, 4096, F16, 15) (dual of [4096, 4053, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(161, 4, F16, 1) (dual of [4, 3, 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
- construction X applied to Ce(16) ⊂ Ce(14) [i] based on
- 1 times truncation [i] based on linear OA(1647, 4100, F16, 17) (dual of [4100, 4053, 18]-code), using
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(1646, 745, F16, 18, 16) (dual of [(745, 18), 13364, 17]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |