Information on Result #1480928
Linear OOA(4203, 1878, F4, 3, 45) (dual of [(1878, 3), 5431, 46]-NRT-code), using OOA 2-folding based on linear OOA(4203, 3756, F4, 2, 45) (dual of [(3756, 2), 7309, 46]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4203, 3756, F4, 45) (dual of [3756, 3553, 46]-code), using
- discarding factors / shortening the dual code based on linear OA(4203, 4113, F4, 45) (dual of [4113, 3910, 46]-code), using
- construction X applied to Ce(44) ⊂ Ce(40) [i] based on
- linear OA(4199, 4096, F4, 45) (dual of [4096, 3897, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(4181, 4096, F4, 41) (dual of [4096, 3915, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [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(44) ⊂ Ce(40) [i] based on
- discarding factors / shortening the dual code based on linear OA(4203, 4113, F4, 45) (dual of [4113, 3910, 46]-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.