Information on Result #823734
Linear OOA(4181, 4194301, F4, 2, 21) (dual of [(4194301, 2), 8388421, 22]-NRT-code), using OOA 2-folding based on linear OA(4181, 8388602, F4, 21) (dual of [8388602, 8388421, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(4181, large, F4, 21) (dual of [large, large−181, 22]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,20], and designed minimum distance d ≥ |I|+1 = 22 [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(4181, 4194301, F4, 2, 20) (dual of [(4194301, 2), 8388421, 21]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4183, 4194302, F4, 2, 21) (dual of [(4194302, 2), 8388421, 22]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(4185, 4194303, F4, 2, 21) (dual of [(4194303, 2), 8388421, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(4187, 4194304, F4, 2, 21) (dual of [(4194304, 2), 8388421, 22]-NRT-code) | [i] | ||
| 5 | Linear OOA(4189, 4194305, F4, 2, 21) (dual of [(4194305, 2), 8388421, 22]-NRT-code) | [i] | ||
| 6 | Linear OOA(4191, 4194306, F4, 2, 21) (dual of [(4194306, 2), 8388421, 22]-NRT-code) | [i] | ||
| 7 | Linear OOA(4182, 4194301, F4, 2, 21) (dual of [(4194301, 2), 8388420, 22]-NRT-code) | [i] | OOA Duplication | |
| 8 | Linear OOA(4192, 4194310, F4, 2, 21) (dual of [(4194310, 2), 8388428, 22]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 9 | Linear OOA(4193, 4194311, F4, 2, 21) (dual of [(4194311, 2), 8388429, 22]-NRT-code) | [i] | ||
| 10 | Linear OOA(4194, 4194315, F4, 2, 21) (dual of [(4194315, 2), 8388436, 22]-NRT-code) | [i] | ||
| 11 | Linear OOA(4195, 4194316, F4, 2, 21) (dual of [(4194316, 2), 8388437, 22]-NRT-code) | [i] | ||
| 12 | Linear OOA(4196, 4194318, F4, 2, 21) (dual of [(4194318, 2), 8388440, 22]-NRT-code) | [i] | ||
| 13 | Linear OOA(4197, 4194319, F4, 2, 21) (dual of [(4194319, 2), 8388441, 22]-NRT-code) | [i] | ||
| 14 | Linear OOA(4198, 4194322, F4, 2, 21) (dual of [(4194322, 2), 8388446, 22]-NRT-code) | [i] | ||
| 15 | Linear OOA(4200, 4194324, F4, 2, 21) (dual of [(4194324, 2), 8388448, 22]-NRT-code) | [i] | ||
| 16 | Linear OOA(4201, 4194335, F4, 2, 21) (dual of [(4194335, 2), 8388469, 22]-NRT-code) | [i] | ||
| 17 | Linear OOA(4203, 4194349, F4, 2, 21) (dual of [(4194349, 2), 8388495, 22]-NRT-code) | [i] | ||
| 18 | Linear OOA(4205, 4194367, F4, 2, 21) (dual of [(4194367, 2), 8388529, 22]-NRT-code) | [i] | ||
| 19 | Linear OOA(4207, 4194377, F4, 2, 21) (dual of [(4194377, 2), 8388547, 22]-NRT-code) | [i] | ||
| 20 | Linear OOA(4209, 4194391, F4, 2, 21) (dual of [(4194391, 2), 8388573, 22]-NRT-code) | [i] | ||
| 21 | Linear OOA(4210, 4194431, F4, 2, 21) (dual of [(4194431, 2), 8388652, 22]-NRT-code) | [i] | ||
| 22 | Linear OOA(4211, 4194496, F4, 2, 21) (dual of [(4194496, 2), 8388781, 22]-NRT-code) | [i] | ||
| 23 | Linear OOA(4214, 4194541, F4, 2, 21) (dual of [(4194541, 2), 8388868, 22]-NRT-code) | [i] | ||
| 24 | Linear OOA(4217, 4194815, F4, 2, 21) (dual of [(4194815, 2), 8389413, 22]-NRT-code) | [i] | ||
| 25 | Linear OOA(4218, 4194818, F4, 2, 21) (dual of [(4194818, 2), 8389418, 22]-NRT-code) | [i] | ||
| 26 | Linear OOA(4219, 4194819, F4, 2, 21) (dual of [(4194819, 2), 8389419, 22]-NRT-code) | [i] | ||
| 27 | Linear OOA(4220, 4194821, F4, 2, 21) (dual of [(4194821, 2), 8389422, 22]-NRT-code) | [i] | ||
| 28 | Linear OOA(4221, 4195329, F4, 2, 21) (dual of [(4195329, 2), 8390437, 22]-NRT-code) | [i] | ||
| 29 | Linear OOA(4224, 4196352, F4, 2, 21) (dual of [(4196352, 2), 8392480, 22]-NRT-code) | [i] | ||
| 30 | Linear OOA(4227, 4196356, F4, 2, 21) (dual of [(4196356, 2), 8392485, 22]-NRT-code) | [i] | ||
| 31 | Linear OOA(4228, 4196357, F4, 2, 21) (dual of [(4196357, 2), 8392486, 22]-NRT-code) | [i] | ||
| 32 | Linear OOA(4229, 4196360, F4, 2, 21) (dual of [(4196360, 2), 8392491, 22]-NRT-code) | [i] | ||