Information on Result #679239
Linear OA(4209, 16449, F4, 37) (dual of [16449, 16240, 38]-code), using construction X applied to Ce(36) ⊂ Ce(26) based on
- linear OA(4190, 16384, F4, 37) (dual of [16384, 16194, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(4141, 16384, F4, 27) (dual of [16384, 16243, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(419, 65, F4, 9) (dual of [65, 46, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65 | 46−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [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 OA(4208, 16448, F4, 36) (dual of [16448, 16240, 37]-code) | [i] | Truncation | |
| 2 | Linear OOA(4209, 8224, F4, 2, 37) (dual of [(8224, 2), 16239, 38]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4209, 5483, F4, 3, 37) (dual of [(5483, 3), 16240, 38]-NRT-code) | [i] | ||