Information on Result #1132533
Linear OOA(2189, 2736, F2, 6, 27) (dual of [(2736, 6), 16227, 28]-NRT-code), using OOA 6-folding based on linear OA(2189, 16416, F2, 27) (dual of [16416, 16227, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(22) [i] based on
- linear OA(2183, 16384, F2, 27) (dual of [16384, 16201, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(2155, 16384, F2, 23) (dual of [16384, 16229, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- 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:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OOA(2190, 2736, F2, 6, 27) (dual of [(2736, 6), 16226, 28]-NRT-code) | [i] | OOA Duplication | |
2 | Linear OOA(2191, 2736, F2, 6, 27) (dual of [(2736, 6), 16225, 28]-NRT-code) | [i] | ||
3 | Linear OOA(2192, 2736, F2, 6, 27) (dual of [(2736, 6), 16224, 28]-NRT-code) | [i] |