Information on Result #823243
Linear OOA(4144, 4194301, F4, 2, 16) (dual of [(4194301, 2), 8388458, 17]-NRT-code), using OOA 2-folding based on linear OA(4144, 8388602, F4, 16) (dual of [8388602, 8388458, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(4144, large, F4, 16) (dual of [large, large−144, 17]-code), using
- the primitive narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(4146, 4194302, F4, 2, 16) (dual of [(4194302, 2), 8388458, 17]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(4148, 4194303, F4, 2, 16) (dual of [(4194303, 2), 8388458, 17]-NRT-code) | [i] | ||
| 3 | Linear OOA(4150, 4194304, F4, 2, 16) (dual of [(4194304, 2), 8388458, 17]-NRT-code) | [i] | ||
| 4 | Linear OOA(4152, 4194306, F4, 2, 16) (dual of [(4194306, 2), 8388460, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(4153, 4194310, F4, 2, 16) (dual of [(4194310, 2), 8388467, 17]-NRT-code) | [i] | ||
| 6 | Linear OOA(4154, 4194311, F4, 2, 16) (dual of [(4194311, 2), 8388468, 17]-NRT-code) | [i] | ||
| 7 | Linear OOA(4155, 4194315, F4, 2, 16) (dual of [(4194315, 2), 8388475, 17]-NRT-code) | [i] | ||
| 8 | Linear OOA(4156, 4194318, F4, 2, 16) (dual of [(4194318, 2), 8388480, 17]-NRT-code) | [i] | ||
| 9 | Linear OOA(4159, 4194322, F4, 2, 16) (dual of [(4194322, 2), 8388485, 17]-NRT-code) | [i] | ||
| 10 | Linear OOA(4160, 4194335, F4, 2, 16) (dual of [(4194335, 2), 8388510, 17]-NRT-code) | [i] | ||
| 11 | Linear OOA(4162, 4194349, F4, 2, 16) (dual of [(4194349, 2), 8388536, 17]-NRT-code) | [i] | ||
| 12 | Linear OOA(4164, 4194367, F4, 2, 16) (dual of [(4194367, 2), 8388570, 17]-NRT-code) | [i] | ||
| 13 | Linear OOA(4166, 4194377, F4, 2, 16) (dual of [(4194377, 2), 8388588, 17]-NRT-code) | [i] | ||
| 14 | Linear OOA(4168, 4194496, F4, 2, 16) (dual of [(4194496, 2), 8388824, 17]-NRT-code) | [i] | ||
| 15 | Linear OOA(4171, 4194541, F4, 2, 16) (dual of [(4194541, 2), 8388911, 17]-NRT-code) | [i] | ||
| 16 | Linear OOA(4173, 4194558, F4, 2, 16) (dual of [(4194558, 2), 8388943, 17]-NRT-code) | [i] | ||
| 17 | Linear OOA(4174, 4194815, F4, 2, 16) (dual of [(4194815, 2), 8389456, 17]-NRT-code) | [i] | ||
| 18 | Linear OOA(4175, 4194817, F4, 2, 16) (dual of [(4194817, 2), 8389459, 17]-NRT-code) | [i] | ||
| 19 | Linear OOA(4176, 4195329, F4, 2, 16) (dual of [(4195329, 2), 8390482, 17]-NRT-code) | [i] | ||
| 20 | OOA(4172, 4194559, S4, 2, 16) | [i] | ||
| 21 | Linear OOA(4144, 4194301, F4, 3, 16) (dual of [(4194301, 3), 12582759, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 22 | Digital (128, 144, 4194301)-net over F4 | [i] | ||