Information on Result #687612
Linear OA(8111, 831, F8, 32) (dual of [831, 720, 33]-code), using construction XX applied to Ce(32) ⊂ Ce(29) ⊂ Ce(28) based on
- linear OA(8109, 820, F8, 33) (dual of [820, 711, 34]-code), using an extension Ce(32) of the narrow-sense BCH-code C(I) with length 819 | 84−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(8101, 820, F8, 30) (dual of [820, 719, 31]-code), using an extension Ce(29) of the narrow-sense BCH-code C(I) with length 819 | 84−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(897, 820, F8, 29) (dual of [820, 723, 30]-code), using an extension Ce(28) of the narrow-sense BCH-code C(I) with length 819 | 84−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(81, 10, F8, 1) (dual of [10, 9, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, 511, F8, 1) (dual of [511, 510, 2]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,0], and designed minimum distance d ≥ |I|+1 = 2 [i]
- discarding factors / shortening the dual code based on linear OA(81, 511, F8, 1) (dual of [511, 510, 2]-code), using
- linear OA(80, 1, F8, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [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.