Information on Result #672258

Linear OA(2247, 1048609, F2, 25) (dual of [1048609, 1048362, 26]-code), using construction X applied to C([0,12]) ⊂ C([0,10]) based on
  1. linear OA(2241, 1048577, F2, 25) (dual of [1048577, 1048336, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 240−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
  2. linear OA(2201, 1048577, F2, 21) (dual of [1048577, 1048376, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 240−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
  3. linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), 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(2246, 1048608, F2, 24) (dual of [1048608, 1048362, 25]-code) [i]Truncation
2Linear OOA(2247, 524304, F2, 2, 25) (dual of [(524304, 2), 1048361, 26]-NRT-code) [i]OOA Folding
3Linear OOA(2247, 349536, F2, 3, 25) (dual of [(349536, 3), 1048361, 26]-NRT-code) [i]
4Linear OOA(2247, 262152, F2, 4, 25) (dual of [(262152, 4), 1048361, 26]-NRT-code) [i]
5Linear OOA(2247, 209721, F2, 5, 25) (dual of [(209721, 5), 1048358, 26]-NRT-code) [i]
6Linear OOA(2247, 174768, F2, 6, 25) (dual of [(174768, 6), 1048361, 26]-NRT-code) [i]
7Linear OOA(2247, 149801, F2, 7, 25) (dual of [(149801, 7), 1048360, 26]-NRT-code) [i]
8Linear OOA(2247, 131076, F2, 8, 25) (dual of [(131076, 8), 1048361, 26]-NRT-code) [i]
9Linear OOA(2247, 87384, F2, 25, 25) (dual of [(87384, 25), 2184353, 26]-NRT-code) [i]OOA Folding and Stacking with Additional Row