Information on Result #674110
Linear OA(294, 144, F2, 31) (dual of [144, 50, 32]-code), using construction XX applied to C([0,28]) ⊂ C([0,26]) ⊂ C([0,22]) based on
- linear OA(285, 127, F2, 31) (dual of [127, 42, 32]-code), using the expurgated primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,28], and minimum distance d ≥ 32 (sporadic result) and all weights a multiple of 2 because the code is contained in its dual [i]
- linear OA(278, 127, F2, 27) (dual of [127, 49, 28]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [0,26], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(271, 127, F2, 23) (dual of [127, 56, 24]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(25, 13, F2, 3) (dual of [13, 8, 4]-code or 13-cap in PG(4,2)), using
- discarding factors / shortening the dual code based on linear OA(25, 16, F2, 3) (dual of [16, 11, 4]-code or 16-cap in PG(4,2)), using
- linear OA(23, 4, F2, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,2) or 4-cap in PG(2,2)), using
- dual of repetition code with length 4 [i]
- caps in base b = 2 [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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.