Information on Result #808493
Linear OOA(2179, 278, F2, 2, 39) (dual of [(278, 2), 377, 40]-NRT-code), using OOA 2-folding based on linear OA(2179, 556, F2, 39) (dual of [556, 377, 40]-code), using
- discarding factors / shortening the dual code based on linear OA(2179, 557, F2, 39) (dual of [557, 378, 40]-code), using
- construction XX applied to C1 = C([477,0]), C2 = C([483,4]), C3 = C1 + C2 = C([483,0]), and C∩ = C1 ∩ C2 = C([477,4]) [i] based on
- linear OA(2145, 511, F2, 35) (dual of [511, 366, 36]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−34,−33,…,0}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(2145, 511, F2, 33) (dual of [511, 366, 34]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−28,−27,…,4}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(2163, 511, F2, 39) (dual of [511, 348, 40]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−34,−33,…,4}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(2127, 511, F2, 29) (dual of [511, 384, 30]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−28,−27,…,0}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(210, 22, F2, 5) (dual of [22, 12, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(210, 24, F2, 5) (dual of [24, 14, 6]-code), using
- linear OA(26, 24, F2, 3) (dual of [24, 18, 4]-code or 24-cap in PG(5,2)), using
- discarding factors / shortening the dual code based on linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), using
- construction XX applied to C1 = C([477,0]), C2 = C([483,4]), C3 = C1 + C2 = C([483,0]), and C∩ = C1 ∩ C2 = C([477,4]) [i] based on
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
None.