Information on Result #672451
Linear OA(2206, 131090, F2, 25) (dual of [131090, 130884, 26]-code), using construction X applied to Ce(24) ⊂ Ce(22) based on
- linear OA(2205, 131072, F2, 25) (dual of [131072, 130867, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 131071 = 217−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(2188, 131072, F2, 23) (dual of [131072, 130884, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 131071 = 217−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(21, 18, F2, 1) (dual of [18, 17, 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(2206, 131090, F2, 24) (dual of [131090, 130884, 25]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2207, 131091, F2, 25) (dual of [131091, 130884, 26]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(2208, 131092, F2, 25) (dual of [131092, 130884, 26]-code) | [i] | ||
| 4 | Linear OA(2209, 131093, F2, 25) (dual of [131093, 130884, 26]-code) | [i] | ||
| 5 | Linear OA(2210, 131094, F2, 25) (dual of [131094, 130884, 26]-code) | [i] | ||
| 6 | Linear OA(2205, 131089, F2, 24) (dual of [131089, 130884, 25]-code) | [i] | Truncation | |
| 7 | Linear OOA(2206, 65545, F2, 2, 25) (dual of [(65545, 2), 130884, 26]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(2206, 43696, F2, 3, 25) (dual of [(43696, 3), 130882, 26]-NRT-code) | [i] | ||
| 9 | Linear OOA(2206, 32772, F2, 4, 25) (dual of [(32772, 4), 130882, 26]-NRT-code) | [i] | ||
| 10 | Linear OOA(2206, 26218, F2, 5, 25) (dual of [(26218, 5), 130884, 26]-NRT-code) | [i] | ||
| 11 | Linear OOA(2206, 21848, F2, 6, 25) (dual of [(21848, 6), 130882, 26]-NRT-code) | [i] | ||
| 12 | Linear OOA(2206, 18727, F2, 7, 25) (dual of [(18727, 7), 130883, 26]-NRT-code) | [i] | ||
| 13 | Linear OOA(2206, 16386, F2, 8, 25) (dual of [(16386, 8), 130882, 26]-NRT-code) | [i] | ||
| 14 | Linear OOA(2206, 10924, F2, 25, 25) (dual of [(10924, 25), 272894, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |