Information on Result #822908
Linear OOA(4108, 4194301, F4, 2, 12) (dual of [(4194301, 2), 8388494, 13]-NRT-code), using OOA 2-folding based on linear OA(4108, 8388602, F4, 12) (dual of [8388602, 8388494, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(4108, large, F4, 12) (dual of [large, large−108, 13]-code), using
- the primitive narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(4110, 4194302, F4, 2, 12) (dual of [(4194302, 2), 8388494, 13]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(4112, 4194303, F4, 2, 12) (dual of [(4194303, 2), 8388494, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(2216, 8388602, F2, 2, 12) (dual of [(8388602, 2), 16776988, 13]-NRT-code) | [i] | Trace Code for OOAs | |
| 4 | Linear OOA(4114, 4194306, F4, 2, 12) (dual of [(4194306, 2), 8388498, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(4115, 4194310, F4, 2, 12) (dual of [(4194310, 2), 8388505, 13]-NRT-code) | [i] | ||
| 6 | Linear OOA(4116, 4194313, F4, 2, 12) (dual of [(4194313, 2), 8388510, 13]-NRT-code) | [i] | ||
| 7 | Linear OOA(4117, 4194319, F4, 2, 12) (dual of [(4194319, 2), 8388521, 13]-NRT-code) | [i] | ||
| 8 | Linear OOA(4118, 4194327, F4, 2, 12) (dual of [(4194327, 2), 8388536, 13]-NRT-code) | [i] | ||
| 9 | Linear OOA(4119, 4194335, F4, 2, 12) (dual of [(4194335, 2), 8388551, 13]-NRT-code) | [i] | ||
| 10 | Linear OOA(4122, 4194349, F4, 2, 12) (dual of [(4194349, 2), 8388576, 13]-NRT-code) | [i] | ||
| 11 | Linear OOA(4123, 4194353, F4, 2, 12) (dual of [(4194353, 2), 8388583, 13]-NRT-code) | [i] | ||
| 12 | Linear OOA(4124, 4194369, F4, 2, 12) (dual of [(4194369, 2), 8388614, 13]-NRT-code) | [i] | ||
| 13 | Linear OOA(4125, 4194431, F4, 2, 12) (dual of [(4194431, 2), 8388737, 13]-NRT-code) | [i] | ||
| 14 | Linear OOA(4126, 4194496, F4, 2, 12) (dual of [(4194496, 2), 8388866, 13]-NRT-code) | [i] | ||
| 15 | Linear OOA(4129, 4194815, F4, 2, 12) (dual of [(4194815, 2), 8389501, 13]-NRT-code) | [i] | ||
| 16 | Linear OOA(4130, 4194818, F4, 2, 12) (dual of [(4194818, 2), 8389506, 13]-NRT-code) | [i] | ||
| 17 | Linear OOA(4131, 4194819, F4, 2, 12) (dual of [(4194819, 2), 8389507, 13]-NRT-code) | [i] | ||
| 18 | Linear OOA(4132, 4195329, F4, 2, 12) (dual of [(4195329, 2), 8390526, 13]-NRT-code) | [i] | ||
| 19 | Linear OOA(4133, 4196352, F4, 2, 12) (dual of [(4196352, 2), 8392571, 13]-NRT-code) | [i] | ||
| 20 | Linear OOA(4108, 4194301, F4, 3, 12) (dual of [(4194301, 3), 12582795, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 21 | Digital (96, 108, 4194301)-net over F4 | [i] | ||