Information on Result #681973
Linear OA(489, 96, F4, 62) (dual of [96, 7, 63]-code), using construction XX applied to C([1,188]) ⊂ C([1,140]) ⊂ C([1,128]) based on
- linear OA(462, 63, F4, 62) (dual of [63, 1, 63]-code or 63-arc in PG(61,4)), using contraction [i] based on linear OA(4188, 189, F4, 188) (dual of [189, 1, 189]-code or 189-arc in PG(187,4)), using the narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [1,188], and designed minimum distance d ≥ |I|+1 = 189 [i]
- linear OA(459, 63, F4, 46) (dual of [63, 4, 47]-code), using contraction [i] based on linear OA(4185, 189, F4, 140) (dual of [189, 4, 141]-code), using the narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [1,140], and designed minimum distance d ≥ |I|+1 = 141 [i]
- linear OA(456, 63, F4, 42) (dual of [63, 7, 43]-code), using contraction [i] based on linear OA(4182, 189, F4, 128) (dual of [189, 7, 129]-code), using the narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [1,128], and designed minimum distance d ≥ |I|+1 = 129 [i]
- linear OA(421, 27, F4, 15) (dual of [27, 6, 16]-code), using
- construction X applied to C1 ⊂ C0 [i] based on
- linear OA(418, 21, F4, 15) (dual of [21, 3, 16]-code), using code C1 for u = 3 by de Boer and Brouwer [i]
- linear OA(415, 21, F4, 11) (dual of [21, 6, 12]-code), using code C0 for u = 3 by de Boer and Brouwer [i]
- linear OA(43, 6, F4, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,4) or 6-cap in PG(2,4)), using
- construction X applied to C1 ⊂ C0 [i] based on
- linear OA(43, 6, F4, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,4) or 6-cap in PG(2,4)) (see above)
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.