Information on Result #679106
Linear OA(432, 16401, F4, 6) (dual of [16401, 16369, 7]-code), using construction X applied to Ce(5) ⊂ Ce(2) based on
- linear OA(429, 16384, F4, 6) (dual of [16384, 16355, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(415, 16384, F4, 3) (dual of [16384, 16369, 4]-code or 16384-cap in PG(14,4)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(43, 17, F4, 2) (dual of [17, 14, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
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(432, 16401, F4, 2, 6) (dual of [(16401, 2), 32770, 7]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(432, 16401, F4, 3, 6) (dual of [(16401, 3), 49171, 7]-NRT-code) | [i] | ||
| 3 | Digital (26, 32, 16401)-net over F4 | [i] | ||
| 4 | Linear OOA(432, 8200, F4, 2, 6) (dual of [(8200, 2), 16368, 7]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(432, 5467, F4, 3, 6) (dual of [(5467, 3), 16369, 7]-NRT-code) | [i] | ||
| 6 | Linear OOA(432, 5467, F4, 6, 6) (dual of [(5467, 6), 32770, 7]-NRT-code) | [i] | OA Folding and Stacking | |