Information on Result #673373
Linear OA(2242, 573, F2, 53) (dual of [573, 331, 54]-code), using construction X applied to Ce(52) ⊂ Ce(42) based on
- linear OA(2217, 512, F2, 53) (dual of [512, 295, 54]-code), using an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(2181, 512, F2, 43) (dual of [512, 331, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(225, 61, F2, 9) (dual of [61, 36, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(225, 63, F2, 9) (dual of [63, 38, 10]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 10 [i]
- discarding factors / shortening the dual code based on linear OA(225, 63, F2, 9) (dual of [63, 38, 10]-code), 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(2242, 573, F2, 52) (dual of [573, 331, 53]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2243, 574, F2, 53) (dual of [574, 331, 54]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(2244, 575, F2, 53) (dual of [575, 331, 54]-code) | [i] | ||
| 4 | Linear OA(2245, 576, F2, 53) (dual of [576, 331, 54]-code) | [i] | ||
| 5 | Linear OA(2241, 572, F2, 52) (dual of [572, 331, 53]-code) | [i] | Truncation | |
| 6 | Linear OOA(2242, 286, F2, 2, 53) (dual of [(286, 2), 330, 54]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(2242, 191, F2, 3, 53) (dual of [(191, 3), 331, 54]-NRT-code) | [i] | ||