Information on Result #1054458
Linear OOA(2165, 132, F2, 4, 39) (dual of [(132, 4), 363, 40]-NRT-code), using OOA 4-folding based on linear OA(2165, 528, F2, 39) (dual of [528, 363, 40]-code), using
- discarding factors / shortening the dual code based on linear OA(2165, 531, F2, 39) (dual of [531, 366, 40]-code), using
- construction XX applied to C1 = C([509,34]), C2 = C([0,36]), C3 = C1 + C2 = C([0,34]), and C∩ = C1 ∩ C2 = C([509,36]) [i] based on
- linear OA(2154, 511, F2, 37) (dual of [511, 357, 38]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−2,−1,…,34}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(2154, 511, F2, 37) (dual of [511, 357, 38]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [0,36], and designed minimum distance d ≥ |I|+1 = 38 [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 = {−2,−1,…,36}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(2145, 511, F2, 35) (dual of [511, 366, 36]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [0,34], and designed minimum distance d ≥ |I|+1 = 36 [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
- linear OA(21, 10, F2, 1) (dual of [10, 9, 2]-code) (see above)
- construction XX applied to C1 = C([509,34]), C2 = C([0,36]), C3 = C1 + C2 = C([0,34]), and C∩ = C1 ∩ C2 = C([509,36]) [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.