Information on Result #1479903
Linear OOA(4155, 1670, F4, 3, 34) (dual of [(1670, 3), 4855, 35]-NRT-code), using OOA 2-folding based on linear OOA(4155, 3340, F4, 2, 34) (dual of [(3340, 2), 6525, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4155, 3341, F4, 2, 34) (dual of [(3341, 2), 6527, 35]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4155, 3341, F4, 34) (dual of [3341, 3186, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(4155, 4113, F4, 34) (dual of [4113, 3958, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(29) [i] based on
- linear OA(4151, 4096, F4, 34) (dual of [4096, 3945, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- 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(44, 17, F4, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,4)), using
- construction X applied to Ce(33) ⊂ Ce(29) [i] based on
- discarding factors / shortening the dual code based on linear OA(4155, 4113, F4, 34) (dual of [4113, 3958, 35]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4155, 3341, F4, 34) (dual of [3341, 3186, 35]-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.