Information on Result #679145
Linear OA(467, 16405, F4, 12) (dual of [16405, 16338, 13]-code), using construction X applied to Ce(12) ⊂ Ce(8) based on
- linear OA(464, 16384, F4, 13) (dual of [16384, 16320, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(443, 16384, F4, 9) (dual of [16384, 16341, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
Mode: Constructive and 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(467, 14198, F4, 2, 12) (dual of [(14198, 2), 28329, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(467, 14198, F4, 3, 12) (dual of [(14198, 3), 42527, 13]-NRT-code) | [i] | ||
| 3 | Digital (55, 67, 14198)-net over F4 | [i] | ||
| 4 | Linear OOA(467, 8202, F4, 2, 12) (dual of [(8202, 2), 16337, 13]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(467, 5468, F4, 3, 12) (dual of [(5468, 3), 16337, 13]-NRT-code) | [i] | ||
| 6 | Linear OOA(467, 2734, F4, 12, 12) (dual of [(2734, 12), 32741, 13]-NRT-code) | [i] | OA Folding and Stacking | |