Information on Result #1542041
Linear OOA(4209, 131095, F4, 3, 30) (dual of [(131095, 3), 393076, 31]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4209, 131095, F4, 2, 30) (dual of [(131095, 2), 261981, 31]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(4207, 131094, F4, 2, 30) (dual of [(131094, 2), 261981, 31]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4207, 262188, F4, 30) (dual of [262188, 261981, 31]-code), using
- 1 times code embedding in larger space [i] based on linear OA(4206, 262187, F4, 30) (dual of [262187, 261981, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(24) [i] based on
- 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(4163, 262144, F4, 25) (dual of [262144, 261981, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(29) ⊂ Ce(24) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(4206, 262187, F4, 30) (dual of [262187, 261981, 31]-code), using
- OOA 2-folding [i] based on linear OA(4207, 262188, F4, 30) (dual of [262188, 261981, 31]-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
None.