Information on Result #2189807
Linear OA(2260, 298, F2, 102) (dual of [298, 38, 103]-code), using strength reduction based on linear OA(2260, 298, F2, 103) (dual of [298, 38, 104]-code), using
- construction XX applied to C1 = C([171,16]), C2 = C([169,4]), C3 = C1 + C2 = C([171,4]), and C∩ = C1 ∩ C2 = C([169,16]) [i] based on
- linear OA(2233, 255, F2, 101) (dual of [255, 22, 102]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−84,−83,…,16}, and designed minimum distance d ≥ |I|+1 = 102 [i]
- linear OA(2219, 255, F2, 91) (dual of [255, 36, 92]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−86,−85,…,4}, and designed minimum distance d ≥ |I|+1 = 92 [i]
- linear OA(2235, 255, F2, 103) (dual of [255, 20, 104]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−86,−85,…,16}, and designed minimum distance d ≥ |I|+1 = 104 [i]
- linear OA(2217, 255, F2, 89) (dual of [255, 38, 90]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−84,−83,…,4}, and designed minimum distance d ≥ |I|+1 = 90 [i]
- linear OA(224, 40, F2, 11) (dual of [40, 16, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(224, 48, F2, 11) (dual of [48, 24, 12]-code), using
- extended quadratic residue code Qe(48,2) [i]
- discarding factors / shortening the dual code based on linear OA(224, 48, F2, 11) (dual of [48, 24, 12]-code), using
- linear OA(21, 3, F2, 1) (dual of [3, 2, 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(2259, 297, F2, 101) (dual of [297, 38, 102]-code) | [i] | Truncation | |
| 2 | Linear OA(2258, 296, F2, 100) (dual of [296, 38, 101]-code) | [i] | ||
| 3 | Linear OOA(2260, 149, F2, 2, 102) (dual of [(149, 2), 38, 103]-NRT-code) | [i] | OOA Folding | |