Information on Result #841865
Linear OOA(747, 29, F7, 2, 33) (dual of [(29, 2), 11, 34]-NRT-code), using OOA 2-folding based on linear OA(747, 58, F7, 33) (dual of [58, 11, 34]-code), using
- 1 times code embedding in larger space [i] based on linear OA(746, 57, F7, 33) (dual of [57, 11, 34]-code), using
- construction XX applied to C1 = C([0,53]), C2 = C([1,65]), C3 = C1 + C2 = C([1,53]), and C∩ = C1 ∩ C2 = C([0,65]) [i] based on
- linear OA(738, 48, F7, 27) (dual of [48, 10, 28]-code), using contraction [i] based on linear OA(786, 96, F7, 55) (dual of [96, 10, 56]-code), using the expurgated narrow-sense BCH-code C(I) with length 96 | 74−1, defining interval I = [0,53], and minimum distance d ≥ |{−1,0,…,53}|+1 = 56 (BCH-bound) [i]
- linear OA(740, 48, F7, 32) (dual of [48, 8, 33]-code), using contraction [i] based on linear OA(788, 96, F7, 65) (dual of [96, 8, 66]-code), using the narrow-sense BCH-code C(I) with length 96 | 74−1, defining interval I = [1,65], and designed minimum distance d ≥ |I|+1 = 66 [i]
- linear OA(741, 48, F7, 33) (dual of [48, 7, 34]-code), using contraction [i] based on linear OA(789, 96, F7, 67) (dual of [96, 7, 68]-code), using the expurgated narrow-sense BCH-code C(I) with length 96 | 74−1, defining interval I = [0,65], and minimum distance d ≥ |{−1,0,…,65}|+1 = 68 (BCH-bound) [i]
- linear OA(737, 48, F7, 26) (dual of [48, 11, 27]-code), using contraction [i] based on linear OA(785, 96, F7, 53) (dual of [96, 11, 54]-code), using the narrow-sense BCH-code C(I) with length 96 | 74−1, defining interval I = [1,53], and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(70, 1, F7, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
- linear OA(75, 8, F7, 5) (dual of [8, 3, 6]-code or 8-arc in PG(4,7)), using
- extended Reed–Solomon code RSe(3,7) [i]
- the expurgated narrow-sense BCH-code C(I) with length 8 | 72−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- construction XX applied to C1 = C([0,53]), C2 = C([1,65]), C3 = C1 + C2 = C([1,53]), and C∩ = C1 ∩ C2 = C([0,65]) [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.