Information on Result #685740
Linear OA(777, 187, F7, 31) (dual of [187, 110, 32]-code), using construction XX applied to Ce(30) ⊂ Ce(28) ⊂ Ce(23) based on
- linear OA(770, 172, F7, 31) (dual of [172, 102, 32]-code), using an extension Ce(30) of the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(764, 172, F7, 29) (dual of [172, 108, 30]-code), using an extension Ce(28) of the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(761, 172, F7, 24) (dual of [172, 111, 25]-code), using an extension Ce(23) of the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(71, 9, F7, 1) (dual of [9, 8, 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(74, 6, F7, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,7)), using
- discarding factors / shortening the dual code based on linear OA(74, 7, F7, 4) (dual of [7, 3, 5]-code or 7-arc in PG(3,7)), using
- Reed–Solomon code RS(3,7) [i]
- discarding factors / shortening the dual code based on linear OA(74, 7, F7, 4) (dual of [7, 3, 5]-code or 7-arc in PG(3,7)), using
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.