Information on Result #672684
Linear OA(286, 16399, F2, 13) (dual of [16399, 16313, 14]-code), using construction X applied to Ce(12) ⊂ Ce(10) based on
- linear OA(285, 16384, F2, 13) (dual of [16384, 16299, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(271, 16384, F2, 11) (dual of [16384, 16313, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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 OOA(286, 5466, F2, 3, 13) (dual of [(5466, 3), 16312, 14]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(286, 2733, F2, 6, 13) (dual of [(2733, 6), 16312, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(286, 2733, F2, 7, 13) (dual of [(2733, 7), 19045, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 4 | Linear OOA(286, 2733, F2, 8, 13) (dual of [(2733, 8), 21778, 14]-NRT-code) | [i] | ||
| 5 | Linear OOA(286, 2733, F2, 13, 13) (dual of [(2733, 13), 35443, 14]-NRT-code) | [i] | ||