Information on Result #844381
Linear OOA(874, 299, F8, 2, 22) (dual of [(299, 2), 524, 23]-NRT-code), using OOA 2-folding based on linear OA(874, 598, F8, 22) (dual of [598, 524, 23]-code), using
- construction XX applied to C1 = C([576,11]), C2 = C([575,9]), C3 = C1 + C2 = C([576,9]), and C∩ = C1 ∩ C2 = C([575,11]) [i] based on
- linear OA(869, 585, F8, 21) (dual of [585, 516, 22]-code), using the BCH-code C(I) with length 585 | 84−1, defining interval I = {−9,−8,…,11}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(865, 585, F8, 20) (dual of [585, 520, 21]-code), using the BCH-code C(I) with length 585 | 84−1, defining interval I = {−10,−9,…,9}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(873, 585, F8, 22) (dual of [585, 512, 23]-code), using the BCH-code C(I) with length 585 | 84−1, defining interval I = {−10,−9,…,11}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(861, 585, F8, 19) (dual of [585, 524, 20]-code), using the BCH-code C(I) with length 585 | 84−1, defining interval I = {−9,−8,…,9}, and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(81, 9, F8, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, 511, F8, 1) (dual of [511, 510, 2]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,0], and designed minimum distance d ≥ |I|+1 = 2 [i]
- discarding factors / shortening the dual code based on linear OA(81, 511, F8, 1) (dual of [511, 510, 2]-code), using
- linear OA(80, 4, F8, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-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
None.