Information on Result #844035
Linear OOA(857, 273, F8, 2, 18) (dual of [(273, 2), 489, 19]-NRT-code), using OOA 2-folding based on linear OA(857, 546, F8, 18) (dual of [546, 489, 19]-code), using
- construction XX applied to C1 = C([68,81]), C2 = C([64,75]), C3 = C1 + C2 = C([68,75]), and C∩ = C1 ∩ C2 = C([64,81]) [i] based on
- linear OA(837, 511, F8, 14) (dual of [511, 474, 15]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {68,69,…,81}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(831, 511, F8, 12) (dual of [511, 480, 13]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {64,65,…,75}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(846, 511, F8, 18) (dual of [511, 465, 19]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {64,65,…,81}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(822, 511, F8, 8) (dual of [511, 489, 9]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {68,69,…,75}, and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(87, 22, F8, 5) (dual of [22, 15, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- linear OA(84, 13, F8, 3) (dual of [13, 9, 4]-code or 13-cap in PG(3,8)), 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.