Information on Result #1545037
Linear OOA(4242, 51030, F4, 3, 38) (dual of [(51030, 3), 152848, 39]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4242, 51030, F4, 38) (dual of [51030, 50788, 39]-code), using
- discarding factors / shortening the dual code based on linear OA(4242, 65601, F4, 38) (dual of [65601, 65359, 39]-code), using
- 1 times code embedding in larger space [i] based on linear OA(4241, 65600, F4, 38) (dual of [65600, 65359, 39]-code), using
- construction X applied to Ce(37) ⊂ Ce(29) [i] based on
- linear OA(4225, 65536, F4, 38) (dual of [65536, 65311, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(4177, 65536, F4, 30) (dual of [65536, 65359, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(416, 64, F4, 7) (dual of [64, 48, 8]-code), using
- an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- construction X applied to Ce(37) ⊂ Ce(29) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(4241, 65600, F4, 38) (dual of [65600, 65359, 39]-code), using
Mode: 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(4242, 7289, F4, 45, 38) (dual of [(7289, 45), 327763, 39]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |