Information on Result #681233

Linear OA(4100, 356, F4, 29) (dual of [356, 256, 30]-code), using construction X applied to Ce(28) ⊂ Ce(24) based on
  1. linear OA(496, 342, F4, 29) (dual of [342, 246, 30]-code), using an extension Ce(28) of the narrow-sense BCH-code C(I) with length 341 | 45−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
  2. linear OA(486, 342, F4, 25) (dual of [342, 256, 26]-code), using an extension Ce(24) of the narrow-sense BCH-code C(I) with length 341 | 45−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
  3. linear OA(44, 14, F4, 3) (dual of [14, 10, 4]-code or 14-cap in PG(3,4)), using

Mode: Constructive and 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

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(4101, 357, F4, 29) (dual of [357, 256, 30]-code) [i]Code Embedding in Larger Space
2Linear OOA(4100, 178, F4, 2, 29) (dual of [(178, 2), 256, 30]-NRT-code) [i]OOA Folding