Information on Result #1480011
Linear OOA(4196, 7908, F4, 3, 35) (dual of [(7908, 3), 23528, 36]-NRT-code), using OOA 2-folding based on linear OOA(4196, 15816, F4, 2, 35) (dual of [(15816, 2), 31436, 36]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4196, 15817, F4, 2, 35) (dual of [(15817, 2), 31438, 36]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4196, 15817, F4, 35) (dual of [15817, 15621, 36]-code), using
- discarding factors / shortening the dual code based on linear OA(4196, 16432, F4, 35) (dual of [16432, 16236, 36]-code), using
- 3 times code embedding in larger space [i] based on linear OA(4193, 16429, F4, 35) (dual of [16429, 16236, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(28) [i] based on
- linear OA(4183, 16384, F4, 35) (dual of [16384, 16201, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(4148, 16384, F4, 29) (dual of [16384, 16236, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(410, 45, F4, 5) (dual of [45, 35, 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
- 3 times code embedding in larger space [i] based on linear OA(4193, 16429, F4, 35) (dual of [16429, 16236, 36]-code), using
- discarding factors / shortening the dual code based on linear OA(4196, 16432, F4, 35) (dual of [16432, 16236, 36]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4196, 15817, F4, 35) (dual of [15817, 15621, 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.