Information on Result #824211
Linear OOA(4217, 4194301, F4, 2, 25) (dual of [(4194301, 2), 8388385, 26]-NRT-code), using OOA 2-folding based on linear OA(4217, 8388602, F4, 25) (dual of [8388602, 8388385, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(4217, large, F4, 25) (dual of [large, large−217, 26]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [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(4217, 4194301, F4, 2, 24) (dual of [(4194301, 2), 8388385, 25]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4219, 4194302, F4, 2, 25) (dual of [(4194302, 2), 8388385, 26]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(4221, 4194303, F4, 2, 25) (dual of [(4194303, 2), 8388385, 26]-NRT-code) | [i] | ||
| 4 | Linear OOA(4223, 4194304, F4, 2, 25) (dual of [(4194304, 2), 8388385, 26]-NRT-code) | [i] | ||
| 5 | Linear OOA(4225, 4194305, F4, 2, 25) (dual of [(4194305, 2), 8388385, 26]-NRT-code) | [i] | ||
| 6 | Linear OOA(4227, 4194306, F4, 2, 25) (dual of [(4194306, 2), 8388385, 26]-NRT-code) | [i] | ||
| 7 | Linear OOA(4229, 4194307, F4, 2, 25) (dual of [(4194307, 2), 8388385, 26]-NRT-code) | [i] | ||
| 8 | Linear OOA(4218, 4194301, F4, 2, 25) (dual of [(4194301, 2), 8388384, 26]-NRT-code) | [i] | OOA Duplication | |
| 9 | Linear OOA(4230, 4194310, F4, 2, 25) (dual of [(4194310, 2), 8388390, 26]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 10 | Linear OOA(4231, 4194311, F4, 2, 25) (dual of [(4194311, 2), 8388391, 26]-NRT-code) | [i] | ||
| 11 | Linear OOA(4232, 4194315, F4, 2, 25) (dual of [(4194315, 2), 8388398, 26]-NRT-code) | [i] | ||
| 12 | Linear OOA(4233, 4194316, F4, 2, 25) (dual of [(4194316, 2), 8388399, 26]-NRT-code) | [i] | ||
| 13 | Linear OOA(4234, 4194318, F4, 2, 25) (dual of [(4194318, 2), 8388402, 26]-NRT-code) | [i] | ||
| 14 | Linear OOA(4235, 4194319, F4, 2, 25) (dual of [(4194319, 2), 8388403, 26]-NRT-code) | [i] | ||
| 15 | Linear OOA(4236, 4194322, F4, 2, 25) (dual of [(4194322, 2), 8388408, 26]-NRT-code) | [i] | ||
| 16 | Linear OOA(4238, 4194324, F4, 2, 25) (dual of [(4194324, 2), 8388410, 26]-NRT-code) | [i] | ||
| 17 | Linear OOA(4239, 4194328, F4, 2, 25) (dual of [(4194328, 2), 8388417, 26]-NRT-code) | [i] | ||
| 18 | Linear OOA(4241, 4194335, F4, 2, 25) (dual of [(4194335, 2), 8388429, 26]-NRT-code) | [i] | ||
| 19 | Linear OOA(4243, 4194349, F4, 2, 25) (dual of [(4194349, 2), 8388455, 26]-NRT-code) | [i] | ||
| 20 | Linear OOA(4245, 4194367, F4, 2, 25) (dual of [(4194367, 2), 8388489, 26]-NRT-code) | [i] | ||
| 21 | Linear OOA(4247, 4194377, F4, 2, 25) (dual of [(4194377, 2), 8388507, 26]-NRT-code) | [i] | ||
| 22 | Linear OOA(4249, 4194391, F4, 2, 25) (dual of [(4194391, 2), 8388533, 26]-NRT-code) | [i] | ||
| 23 | Linear OOA(4251, 4194399, F4, 2, 25) (dual of [(4194399, 2), 8388547, 26]-NRT-code) | [i] | ||
| 24 | Linear OOA(4253, 4194496, F4, 2, 25) (dual of [(4194496, 2), 8388739, 26]-NRT-code) | [i] | ||
| 25 | Linear OOA(4256, 4194541, F4, 2, 25) (dual of [(4194541, 2), 8388826, 26]-NRT-code) | [i] | ||
| 26 | Linear OOA(4235, 4194321, F4, 2, 25) (dual of [(4194321, 2), 8388407, 26]-NRT-code) | [i] | ||
| 27 | OOA(4259, 4194688, S4, 2, 25) | [i] | ||