Information on Result #687548
Linear OA(8167, 1377, F8, 48) (dual of [1377, 1210, 49]-code), using construction XX applied to Ce(48) ⊂ Ce(45) ⊂ Ce(44) based on
- linear OA(8165, 1366, F8, 49) (dual of [1366, 1201, 50]-code), using an extension Ce(48) of the narrow-sense BCH-code C(I) with length 1365 | 84−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(8157, 1366, F8, 46) (dual of [1366, 1209, 47]-code), using an extension Ce(45) of the narrow-sense BCH-code C(I) with length 1365 | 84−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(8153, 1366, F8, 45) (dual of [1366, 1213, 46]-code), using an extension Ce(44) of the narrow-sense BCH-code C(I) with length 1365 | 84−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(8167, 688, F8, 2, 48) (dual of [(688, 2), 1209, 49]-NRT-code) | [i] | OOA Folding | |