Information on Result #1479952
Linear OOA(4224, 32810, F4, 3, 34) (dual of [(32810, 3), 98206, 35]-NRT-code), using OOA 2-folding based on linear OOA(4224, 65620, F4, 2, 34) (dual of [(65620, 2), 131016, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4224, 65621, F4, 2, 34) (dual of [(65621, 2), 131018, 35]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4224, 65621, F4, 34) (dual of [65621, 65397, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(22) [i] based on
- linear OA(4201, 65536, F4, 34) (dual of [65536, 65335, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(4137, 65536, F4, 23) (dual of [65536, 65399, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(423, 85, F4, 10) (dual of [85, 62, 11]-code), using
- a “GraCyc†code from Grassl’s database [i]
- construction X applied to Ce(33) ⊂ Ce(22) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4224, 65621, F4, 34) (dual of [65621, 65397, 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.