Information on Result #688608
Linear OA(899, 527, F8, 36) (dual of [527, 428, 37]-code), using construction XX applied to Ce(35) ⊂ Ce(32) ⊂ Ce(30) based on
- linear OA(894, 512, F8, 36) (dual of [512, 418, 37]-code), using an extension Ce(35) of 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(885, 512, F8, 33) (dual of [512, 427, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(882, 512, F8, 31) (dual of [512, 430, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(83, 13, F8, 2) (dual of [13, 10, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(83, 63, F8, 2) (dual of [63, 60, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(83, 63, F8, 2) (dual of [63, 60, 3]-code), using
- linear OA(81, 2, F8, 1) (dual of [2, 1, 2]-code), using
- dual of repetition code with length 2 [i]
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.