Information on Result #1479614
Linear OOA(4137, 1571, F4, 3, 30) (dual of [(1571, 3), 4576, 31]-NRT-code), using OOA 2-folding based on linear OOA(4137, 3142, F4, 2, 30) (dual of [(3142, 2), 6147, 31]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4137, 3142, F4, 30) (dual of [3142, 3005, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(4137, 4113, F4, 30) (dual of [4113, 3976, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(25) [i] based on
- linear OA(4133, 4096, F4, 30) (dual of [4096, 3963, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(4115, 4096, F4, 26) (dual of [4096, 3981, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(44, 17, F4, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,4)), using
- construction X applied to Ce(29) ⊂ Ce(25) [i] based on
- discarding factors / shortening the dual code based on linear OA(4137, 4113, F4, 30) (dual of [4113, 3976, 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.