Information on Result #672327
Linear OA(2230, 524308, F2, 25) (dual of [524308, 524078, 26]-code), using construction X applied to Ce(24) ⊂ Ce(22) 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(2230, 524308, F2, 24) (dual of [524308, 524078, 25]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2231, 524309, F2, 25) (dual of [524309, 524078, 26]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(2232, 524310, F2, 25) (dual of [524310, 524078, 26]-code) | [i] | ||
| 4 | Linear OA(2233, 524311, F2, 25) (dual of [524311, 524078, 26]-code) | [i] | ||
| 5 | Linear OA(2234, 524312, F2, 25) (dual of [524312, 524078, 26]-code) | [i] | ||
| 6 | Linear OA(2229, 524307, F2, 24) (dual of [524307, 524078, 25]-code) | [i] | Truncation | |
| 7 | Linear OOA(2230, 262154, F2, 2, 25) (dual of [(262154, 2), 524078, 26]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(2230, 174769, F2, 3, 25) (dual of [(174769, 3), 524077, 26]-NRT-code) | [i] | ||
| 9 | Linear OOA(2230, 131077, F2, 4, 25) (dual of [(131077, 4), 524078, 26]-NRT-code) | [i] | ||
| 10 | Linear OOA(2230, 104861, F2, 5, 25) (dual of [(104861, 5), 524075, 26]-NRT-code) | [i] | ||
| 11 | Linear OOA(2230, 87384, F2, 6, 25) (dual of [(87384, 6), 524074, 26]-NRT-code) | [i] | ||
| 12 | Linear OOA(2230, 74901, F2, 7, 25) (dual of [(74901, 7), 524077, 26]-NRT-code) | [i] | ||
| 13 | Linear OOA(2230, 65538, F2, 8, 25) (dual of [(65538, 8), 524074, 26]-NRT-code) | [i] | ||
| 14 | Linear OOA(2230, 43692, F2, 25, 25) (dual of [(43692, 25), 1092070, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |