Information on Result #715262
Linear OA(869, 547, F8, 22) (dual of [547, 478, 23]-code), using construction XX applied to C1 = C([506,12]), C2 = C([1,16]), C3 = C1 + C2 = C([1,12]), and C∩ = C1 ∩ C2 = C([506,16]) based on
- linear OA(849, 511, F8, 18) (dual of [511, 462, 19]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−5,−4,…,12}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(842, 511, F8, 16) (dual of [511, 469, 17]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(858, 511, F8, 22) (dual of [511, 453, 23]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−5,−4,…,16}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(833, 511, F8, 12) (dual of [511, 478, 13]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(87, 23, F8, 5) (dual of [23, 16, 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.