Information on Result #672675
Linear OA(2156, 16399, F2, 23) (dual of [16399, 16243, 24]-code), using construction X applied to Ce(22) ⊂ Ce(20) based on
- 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(2141, 16384, F2, 21) (dual of [16384, 16243, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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
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 OA(2156, 16399, F2, 22) (dual of [16399, 16243, 23]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2157, 16400, F2, 23) (dual of [16400, 16243, 24]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(2158, 16401, F2, 23) (dual of [16401, 16243, 24]-code) | [i] | ||
| 4 | Linear OA(2159, 16402, F2, 23) (dual of [16402, 16243, 24]-code) | [i] | ||
| 5 | Linear OA(2160, 16403, F2, 23) (dual of [16403, 16243, 24]-code) | [i] | ||
| 6 | Linear OA(2155, 16398, F2, 22) (dual of [16398, 16243, 23]-code) | [i] | Truncation | |
| 7 | Linear OOA(2156, 8199, F2, 2, 23) (dual of [(8199, 2), 16242, 24]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(2156, 5466, F2, 3, 23) (dual of [(5466, 3), 16242, 24]-NRT-code) | [i] | ||
| 9 | Linear OOA(2156, 4099, F2, 4, 23) (dual of [(4099, 4), 16240, 24]-NRT-code) | [i] | ||
| 10 | Linear OOA(2156, 3279, F2, 5, 23) (dual of [(3279, 5), 16239, 24]-NRT-code) | [i] | ||
| 11 | Linear OOA(2156, 2733, F2, 6, 23) (dual of [(2733, 6), 16242, 24]-NRT-code) | [i] | ||
| 12 | Linear OOA(2156, 2342, F2, 7, 23) (dual of [(2342, 7), 16238, 24]-NRT-code) | [i] | ||
| 13 | Linear OOA(2156, 2049, F2, 8, 23) (dual of [(2049, 8), 16236, 24]-NRT-code) | [i] | ||
| 14 | Linear OOA(2156, 1490, F2, 23, 23) (dual of [(1490, 23), 34114, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |