Information on Result #687614
Linear OA(8103, 831, F8, 30) (dual of [831, 728, 31]-code), using construction XX applied to Ce(29) ⊂ Ce(27) ⊂ Ce(26) based on
- 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(893, 820, F8, 28) (dual of [820, 727, 29]-code), using an extension Ce(27) of the narrow-sense BCH-code C(I) with length 819 | 84−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(889, 820, F8, 27) (dual of [820, 731, 28]-code), using an extension Ce(26) of the narrow-sense BCH-code C(I) with length 819 | 84−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [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.