Information on Result #825152
Linear OOA(4218, 131081, F4, 2, 32) (dual of [(131081, 2), 261944, 33]-NRT-code), using OOA 2-folding based on linear OA(4218, 262162, F4, 32) (dual of [262162, 261944, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(4218, 262163, F4, 32) (dual of [262163, 261945, 33]-code), using
- construction X applied to Ce(32) ⊂ Ce(29) [i] based on
- linear OA(4217, 262144, F4, 33) (dual of [262144, 261927, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(4199, 262144, F4, 30) (dual of [262144, 261945, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(41, 19, F4, 1) (dual of [19, 18, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(32) ⊂ Ce(29) [i] based on
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(4218, 118638, F4, 3, 32) (dual of [(118638, 3), 355696, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (186, 218, 118638)-net over F4 | [i] | ||