Information on Result #716316
Linear OA(8134, 552, F8, 46) (dual of [552, 418, 47]-code), using construction XX applied to C1 = C([506,35]), C2 = C([1,40]), C3 = C1 + C2 = C([1,35]), and C∩ = C1 ∩ C2 = C([506,40]) based on
- linear OA(8109, 511, F8, 41) (dual of [511, 402, 42]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−5,−4,…,35}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(8105, 511, F8, 40) (dual of [511, 406, 41]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(8121, 511, F8, 46) (dual of [511, 390, 47]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−5,−4,…,40}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(893, 511, F8, 35) (dual of [511, 418, 36]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [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(86, 18, F8, 4) (dual of [18, 12, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(86, 56, F8, 4) (dual of [56, 50, 5]-code), using
- 1 times truncation [i] based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code) (see above)
- discarding factors / shortening the dual code based on linear OA(86, 56, F8, 4) (dual of [56, 50, 5]-code), 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.