Information on Result #702125
Linear OA(2248, 278, F2, 103) (dual of [278, 30, 104]-code), using construction XX applied to C1 = C([171,16]), C2 = C([169,8]), C3 = C1 + C2 = C([171,8]), and C∩ = C1 ∩ C2 = C([169,16]) 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(2227, 255, F2, 95) (dual of [255, 28, 96]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−86,−85,…,8}, and designed minimum distance d ≥ |I|+1 = 96 [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(2225, 255, F2, 93) (dual of [255, 30, 94]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−84,−83,…,8}, and designed minimum distance d ≥ |I|+1 = 94 [i]
- linear OA(212, 20, F2, 7) (dual of [20, 8, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(212, 24, F2, 7) (dual of [24, 12, 8]-code), using
- extended Golay code Ge(2) [i]
- discarding factors / shortening the dual code based on linear OA(212, 24, F2, 7) (dual of [24, 12, 8]-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(2248, 278, F2, 102) (dual of [278, 30, 103]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2249, 279, F2, 103) (dual of [279, 30, 104]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(2250, 280, F2, 103) (dual of [280, 30, 104]-code) | [i] | ||
| 4 | Linear OA(2252, 282, F2, 103) (dual of [282, 30, 104]-code) | [i] | ||
| 5 | Linear OA(2247, 277, F2, 102) (dual of [277, 30, 103]-code) | [i] | Truncation | |
| 6 | Linear OA(2246, 276, F2, 101) (dual of [276, 30, 102]-code) | [i] | ||
| 7 | Linear OOA(2248, 139, F2, 2, 103) (dual of [(139, 2), 30, 104]-NRT-code) | [i] | OOA Folding | |