Information on Result #2175061
Linear OA(2151, 298, F2, 39) (dual of [298, 147, 40]-code), using adding a parity check bit based on linear OA(2150, 297, F2, 38) (dual of [297, 147, 39]-code), using
- construction XX applied to C1 = C([219,254]), C2 = C([227,2]), C3 = C1 + C2 = C([227,254]), and C∩ = C1 ∩ C2 = C([219,2]) [i] based on
- linear OA(2124, 255, F2, 36) (dual of [255, 131, 37]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−36,−35,…,−1}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(2117, 255, F2, 31) (dual of [255, 138, 32]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−28,−27,…,2}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(2133, 255, F2, 39) (dual of [255, 122, 40]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−36,−35,…,2}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(2108, 255, F2, 28) (dual of [255, 147, 29]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−28,−27,…,−1}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(216, 32, F2, 7) (dual of [32, 16, 8]-code), using
- Reed–Muller code RM(2,5) [i]
- linear OA(21, 10, F2, 1) (dual of [10, 9, 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(2151, 298, F2, 38) (dual of [298, 147, 39]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2152, 299, F2, 39) (dual of [299, 147, 40]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(2154, 301, F2, 39) (dual of [301, 147, 40]-code) | [i] | ||
| 4 | Linear OOA(2151, 149, F2, 2, 39) (dual of [(149, 2), 147, 40]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(2151, 99, F2, 3, 39) (dual of [(99, 3), 146, 40]-NRT-code) | [i] | ||