Information on Result #845833
Linear OOA(8122, 416, F8, 2, 36) (dual of [(416, 2), 710, 37]-NRT-code), using OOA 2-folding based on linear OA(8122, 832, F8, 36) (dual of [832, 710, 37]-code), using
- construction XX applied to C1 = C([817,32]), C2 = C([0,33]), C3 = C1 + C2 = C([0,32]), and C∩ = C1 ∩ C2 = C([817,33]) [i] based on
- linear OA(8117, 819, F8, 35) (dual of [819, 702, 36]-code), using the BCH-code C(I) with length 819 | 84−1, defining interval I = {−2,−1,…,32}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(8113, 819, F8, 34) (dual of [819, 706, 35]-code), using the expurgated narrow-sense BCH-code C(I) with length 819 | 84−1, defining interval I = [0,33], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(8121, 819, F8, 36) (dual of [819, 698, 37]-code), using the BCH-code C(I) with length 819 | 84−1, defining interval I = {−2,−1,…,33}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(8109, 819, F8, 33) (dual of [819, 710, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 819 | 84−1, defining interval I = [0,32], and designed minimum distance d ≥ |I|+1 = 34 [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.