Information on Result #685737
Linear OA(784, 195, F7, 33) (dual of [195, 111, 34]-code), using construction XX applied to Ce(32) ⊂ Ce(28) ⊂ Ce(23) based on
- linear OA(773, 172, F7, 33) (dual of [172, 99, 34]-code), using an extension Ce(32) of the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [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(74, 16, F7, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,7)), using
- 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]
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.