Information on Result #679237
Linear OA(4215, 16448, F4, 38) (dual of [16448, 16233, 39]-code), using construction X applied to Ce(37) ⊂ Ce(28) based on
- linear OA(4197, 16384, F4, 38) (dual of [16384, 16187, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(4148, 16384, F4, 29) (dual of [16384, 16236, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(418, 64, F4, 8) (dual of [64, 46, 9]-code), using
- 1 times truncation [i] based on 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]
- 1 times truncation [i] based on linear OA(419, 65, F4, 9) (dual of [65, 46, 10]-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(4215, 8224, F4, 2, 38) (dual of [(8224, 2), 16233, 39]-NRT-code) | [i] | OOA Folding | |
2 | Linear OOA(4215, 5482, F4, 3, 38) (dual of [(5482, 3), 16231, 39]-NRT-code) | [i] |