Information on Result #1053854
Linear OOA(2147, 132, F2, 4, 33) (dual of [(132, 4), 381, 34]-NRT-code), using OOA 4-folding based on linear OA(2147, 528, F2, 33) (dual of [528, 381, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(2147, 531, F2, 33) (dual of [531, 384, 34]-code), using
- construction XX applied to C1 = C([509,28]), C2 = C([0,30]), C3 = C1 + C2 = C([0,28]), and C∩ = C1 ∩ C2 = C([509,30]) [i] based on
- linear OA(2136, 511, F2, 31) (dual of [511, 375, 32]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−2,−1,…,28}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(2136, 511, F2, 31) (dual of [511, 375, 32]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [0,30], and designed minimum distance d ≥ |I|+1 = 32 [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 = {−2,−1,…,30}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(2127, 511, F2, 29) (dual of [511, 384, 30]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [0,28], and designed minimum distance d ≥ |I|+1 = 30 [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([509,28]), C2 = C([0,30]), C3 = C1 + C2 = C([0,28]), and C∩ = C1 ∩ C2 = C([509,30]) [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.