Information on Result #689290

Linear OA(9105, 59074, F9, 23) (dual of [59074, 58969, 24]-code), using construction X applied to C([0,11]) ⊂ C([0,9]) based on
  1. linear OA(9101, 59050, F9, 23) (dual of [59050, 58949, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
  2. linear OA(981, 59050, F9, 19) (dual of [59050, 58969, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
  3. linear OA(94, 24, F9, 3) (dual of [24, 20, 4]-code or 24-cap in PG(3,9)), 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(9106, 59075, F9, 23) (dual of [59075, 58969, 24]-code) [i]Code Embedding in Larger Space
2Linear OA(9107, 59076, F9, 23) (dual of [59076, 58969, 24]-code) [i]
3Linear OOA(9105, 57688, F9, 2, 23) (dual of [(57688, 2), 115271, 24]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
4Linear OOA(9105, 57688, F9, 3, 23) (dual of [(57688, 3), 172959, 24]-NRT-code) [i]
5Digital (82, 105, 57688)-net over F9 [i]
6Linear OA(9106, 59076, F9, 23) (dual of [59076, 58970, 24]-code) [i]Construction X with VarÅ¡amov Bound
7Linear OA(9107, 59078, F9, 23) (dual of [59078, 58971, 24]-code) [i]
8Linear OOA(9105, 29537, F9, 2, 23) (dual of [(29537, 2), 58969, 24]-NRT-code) [i]OOA Folding
9Linear OOA(9105, 19691, F9, 3, 23) (dual of [(19691, 3), 58968, 24]-NRT-code) [i]
10Linear OOA(9105, 5370, F9, 23, 23) (dual of [(5370, 23), 123405, 24]-NRT-code) [i]OOA Folding and Stacking with Additional Row