Information on Result #1480027
Linear OOA(4223, 24614, F4, 3, 35) (dual of [(24614, 3), 73619, 36]-NRT-code), using OOA 2-folding based on linear OOA(4223, 49228, F4, 2, 35) (dual of [(49228, 2), 98233, 36]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4223, 49229, F4, 2, 35) (dual of [(49229, 2), 98235, 36]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4223, 49229, F4, 35) (dual of [49229, 49006, 36]-code), using
- discarding factors / shortening the dual code based on linear OA(4223, 65590, F4, 35) (dual of [65590, 65367, 36]-code), using
- 4 times code embedding in larger space [i] based on linear OA(4219, 65586, F4, 35) (dual of [65586, 65367, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(28) [i] based on
- linear OA(4209, 65536, F4, 35) (dual of [65536, 65327, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(4169, 65536, F4, 29) (dual of [65536, 65367, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(410, 50, F4, 5) (dual of [50, 40, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-code), using
- construction X applied to Ce(34) ⊂ Ce(28) [i] based on
- 4 times code embedding in larger space [i] based on linear OA(4219, 65586, F4, 35) (dual of [65586, 65367, 36]-code), using
- discarding factors / shortening the dual code based on linear OA(4223, 65590, F4, 35) (dual of [65590, 65367, 36]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4223, 49229, F4, 35) (dual of [49229, 49006, 36]-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.