Information on Result #688563
Linear OA(8131, 540, F8, 46) (dual of [540, 409, 47]-code), using construction XX applied to Ce(45) ⊂ Ce(40) ⊂ Ce(38) based on
- linear OA(8121, 512, F8, 46) (dual of [512, 391, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(8106, 512, F8, 41) (dual of [512, 406, 42]-code), using an extension Ce(40) of 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(8103, 512, F8, 39) (dual of [512, 409, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(86, 24, F8, 4) (dual of [24, 18, 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), using
- discarding factors / shortening the dual code based on linear OA(86, 56, F8, 4) (dual of [56, 50, 5]-code), using
- linear OA(81, 4, F8, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, 8, F8, 1) (dual of [8, 7, 2]-code), using
- Reed–Solomon code RS(7,8) [i]
- discarding factors / shortening the dual code based on linear OA(81, 8, F8, 1) (dual of [8, 7, 2]-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.