Information on Result #685253
Linear OA(748, 356, F7, 17) (dual of [356, 308, 18]-code), using construction XX applied to C([0,8]) ⊂ C([0,7]) ⊂ C([0,5]) based on
- linear OA(743, 344, F7, 17) (dual of [344, 301, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 344 | 76−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(737, 344, F7, 15) (dual of [344, 307, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 344 | 76−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(731, 344, F7, 11) (dual of [344, 313, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 344 | 76−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(71, 8, F7, 1) (dual of [8, 7, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, 342, F7, 1) (dual of [342, 341, 2]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,0], and designed minimum distance d ≥ |I|+1 = 2 [i]
- discarding factors / shortening the dual code based on linear OA(71, 342, F7, 1) (dual of [342, 341, 2]-code), using
- linear OA(73, 4, F7, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,7) or 4-cap in PG(2,7)), using
- dual of repetition code with length 4 [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.