Information on Result #672482

Linear OA(2252, 131136, F2, 29) (dual of [131136, 130884, 30]-code), using construction X applied to Ce(28) ⊂ Ce(22) based on
  1. linear OA(2239, 131072, F2, 29) (dual of [131072, 130833, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 131071 = 217−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
  2. linear OA(2188, 131072, F2, 23) (dual of [131072, 130884, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 131071 = 217−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
  3. linear OA(213, 64, F2, 5) (dual of [64, 51, 6]-code), using
    • an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]

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(2251, 131135, F2, 28) (dual of [131135, 130884, 29]-code) [i]Truncation
2Linear OOA(2252, 65568, F2, 2, 29) (dual of [(65568, 2), 130884, 30]-NRT-code) [i]OOA Folding
3Linear OOA(2252, 43712, F2, 3, 29) (dual of [(43712, 3), 130884, 30]-NRT-code) [i]
4Linear OOA(2252, 32784, F2, 4, 29) (dual of [(32784, 4), 130884, 30]-NRT-code) [i]
5Linear OOA(2252, 26227, F2, 5, 29) (dual of [(26227, 5), 130883, 30]-NRT-code) [i]
6Linear OOA(2252, 21856, F2, 6, 29) (dual of [(21856, 6), 130884, 30]-NRT-code) [i]
7Linear OOA(2252, 18733, F2, 7, 29) (dual of [(18733, 7), 130879, 30]-NRT-code) [i]
8Linear OOA(2252, 16392, F2, 8, 29) (dual of [(16392, 8), 130884, 30]-NRT-code) [i]
9Linear OOA(2252, 9366, F2, 29, 29) (dual of [(9366, 29), 271362, 30]-NRT-code) [i]OOA Folding and Stacking with Additional Row