Information on Result #689453

Linear OA(9128, 59081, F9, 28) (dual of [59081, 58953, 29]-code), using construction X applied to Ce(27) ⊂ Ce(21) based on
  1. linear OA(9121, 59049, F9, 28) (dual of [59049, 58928, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
  2. linear OA(996, 59049, F9, 22) (dual of [59049, 58953, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
  3. linear OA(97, 32, F9, 5) (dual of [32, 25, 6]-code), 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(9129, 59082, F9, 28) (dual of [59082, 58953, 29]-code) [i]Code Embedding in Larger Space
2Linear OA(9130, 59083, F9, 28) (dual of [59083, 58953, 29]-code) [i]
3Linear OA(9127, 59080, F9, 27) (dual of [59080, 58953, 28]-code) [i]Truncation
4Linear OOA(9128, 59081, F9, 2, 28) (dual of [(59081, 2), 118034, 29]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
5Linear OOA(9128, 59081, F9, 3, 28) (dual of [(59081, 3), 177115, 29]-NRT-code) [i]
6Digital (100, 128, 59081)-net over F9 [i]
7Linear OA(9129, 59083, F9, 28) (dual of [59083, 58954, 29]-code) [i]Construction X with VarÅ¡amov Bound
8Linear OA(9130, 59085, F9, 28) (dual of [59085, 58955, 29]-code) [i]
9Linear OOA(9128, 29540, F9, 2, 28) (dual of [(29540, 2), 58952, 29]-NRT-code) [i]OOA Folding
10Linear OOA(9128, 19693, F9, 3, 28) (dual of [(19693, 3), 58951, 29]-NRT-code) [i]
11Linear OOA(9128, 4220, F9, 28, 28) (dual of [(4220, 28), 118032, 29]-NRT-code) [i]OA Folding and Stacking