Information on Result #2227005
Linear OA(2229, 524307, F2, 24) (dual of [524307, 524078, 25]-code), using 1 times truncation based on linear OA(2230, 524308, F2, 25) (dual of [524308, 524078, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
- linear OA(2229, 524288, F2, 25) (dual of [524288, 524059, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 524287 = 219−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(2210, 524288, F2, 23) (dual of [524288, 524078, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 524287 = 219−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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 OA(2231, 524309, F2, 24) (dual of [524309, 524078, 25]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(2232, 524310, F2, 24) (dual of [524310, 524078, 25]-code) | [i] | ||
| 3 | Linear OA(2233, 524311, F2, 24) (dual of [524311, 524078, 25]-code) | [i] | ||
| 4 | Linear OOA(2229, 262153, F2, 2, 24) (dual of [(262153, 2), 524077, 25]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(2229, 174769, F2, 3, 24) (dual of [(174769, 3), 524078, 25]-NRT-code) | [i] | ||
| 6 | Linear OOA(2229, 131076, F2, 4, 24) (dual of [(131076, 4), 524075, 25]-NRT-code) | [i] | ||
| 7 | Linear OOA(2229, 104861, F2, 5, 24) (dual of [(104861, 5), 524076, 25]-NRT-code) | [i] | ||
| 8 | Linear OOA(2229, 87384, F2, 6, 24) (dual of [(87384, 6), 524075, 25]-NRT-code) | [i] | ||
| 9 | Linear OOA(2229, 74901, F2, 7, 24) (dual of [(74901, 7), 524078, 25]-NRT-code) | [i] | ||
| 10 | Linear OOA(2229, 65538, F2, 8, 24) (dual of [(65538, 8), 524075, 25]-NRT-code) | [i] | ||
| 11 | Linear OOA(2229, 43692, F2, 24, 24) (dual of [(43692, 24), 1048379, 25]-NRT-code) | [i] | OA Folding and Stacking | |