Information on Result #1151885
Linear OOA(2170, 2342, F2, 7, 25) (dual of [(2342, 7), 16224, 26]-NRT-code), using OOA 7-folding based on linear OA(2170, 16394, F2, 25) (dual of [16394, 16224, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(2170, 16399, F2, 25) (dual of [16399, 16229, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
- linear OA(2169, 16384, F2, 25) (dual of [16384, 16215, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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(21, 15, F2, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
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(2170, 2342, F2, 7, 24) (dual of [(2342, 7), 16224, 25]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(2171, 2342, F2, 7, 25) (dual of [(2342, 7), 16223, 26]-NRT-code) | [i] | OOA Duplication |