Information on Result #672334
Linear OA(2154, 524308, F2, 17) (dual of [524308, 524154, 18]-code), using construction X applied to Ce(16) ⊂ Ce(14) based on
- linear OA(2153, 524288, F2, 17) (dual of [524288, 524135, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 524287 = 219−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(2134, 524288, F2, 15) (dual of [524288, 524154, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 524287 = 219−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(21, 20, F2, 1) (dual of [20, 19, 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(2154, 262154, F2, 2, 17) (dual of [(262154, 2), 524154, 18]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2154, 174769, F2, 3, 17) (dual of [(174769, 3), 524153, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(2154, 131077, F2, 4, 17) (dual of [(131077, 4), 524154, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(2154, 104861, F2, 5, 17) (dual of [(104861, 5), 524151, 18]-NRT-code) | [i] | ||
| 5 | Linear OOA(2154, 87384, F2, 6, 17) (dual of [(87384, 6), 524150, 18]-NRT-code) | [i] | ||
| 6 | Linear OOA(2154, 74901, F2, 7, 17) (dual of [(74901, 7), 524153, 18]-NRT-code) | [i] | ||
| 7 | Linear OOA(2154, 65538, F2, 8, 17) (dual of [(65538, 8), 524150, 18]-NRT-code) | [i] | ||
| 8 | Linear OOA(2154, 65538, F2, 17, 17) (dual of [(65538, 17), 1113992, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |